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Type of Lie algebra of interest in physics
In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. For a Lie algebra g {\displaystyle {\mathfrak
Loop_algebra
Magma obeying the Latin square property
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible
Quasigroup
Type of Kac–Moody algebras
constructed: starting from a simple Lie algebra g {\displaystyle {\mathfrak {g}}} , one considers the loop algebra, L g {\displaystyle L{\mathfrak {g}}}
Affine_Lie_algebra
Mathematical group of loops in a Lie group
affine Kac–Moody algebras, conformal field theory, and the Verlinde formula. In algebraic geometry one also studies algebraic loop groups, defined by
Loop_group
Creating a "larger" Lie algebra from a smaller one, in one of several ways
algebra which is isomorphic with an untwisted affine Kac–Moody algebra. Using the centrally extended loop algebra one may construct a current algebra
Lie_algebra_extension
Theory of quantum gravity merging quantum mechanics and general relativity
of a Hilbert space and associated operators reproducing the correct loop algebra) have been given by two groups (Lewandowski, Okołów, Sahlmann and Thiemann;
Loop_quantum_gravity
Concept in Lie algebra mathematics
In algebra, a simple Lie algebra is a Lie algebra that is non-abelian and contains no nonzero proper ideals. The classification of real simple Lie algebras
Simple_Lie_algebra
Group of flat spacetime symmetries
{Spin} (1,3)} . The Poincaré algebra is the Lie algebra of the Poincaré group. It is a Lie algebra extension of the Lie algebra of the Lorentz group. More
Poincaré_group
248-dimensional exceptional simple Lie group
several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding
E8_(mathematics)
Algebraic structure used in analysis
In mathematics, a Lie algebra (pronounced /liː/ LEE) is a vector space g {\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket
Lie_algebra
Topological path whose initial point is equal to its terminal point
_{1}(X,x_{0})} . Free loop Loop group Loop space Loop algebra Fundamental group Quasigroup Adams, John Frank (1978), Infinite Loop Spaces, Annals of mathematics
Loop_(topology)
Algebraic structure
loops have an associated algebra, the Malcev algebra, similar in some ways to how a Lie group has an associated Lie algebra. A Moufang loop is a loop
Moufang_loop
Group that is also a differentiable manifold with group operations that are smooth
a circle these are called loop groups, and have central extensions whose Lie algebras are (more or less) Kac–Moody algebras. There are infinite-dimensional
Lie_group
Topics referred to by the same term
the Fediverse Control loop, a fundamental component of control systems Loop (algebra), a quasigroup with an identity element Loop (graph theory), an edge
Loop
Writing Lie algebra sets as matrices
representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms
Lie_algebra_representation
Group of unitary complex matrices with determinant of 1
structure of this Lie algebra can be found below in § Lie algebra structure. In the physics literature, it is common to identify the Lie algebra with the space
Special_unitary_group
Compact astronomical body
microstates and need not have a singularity or an event horizon. The theory of loop quantum gravity proposes that the curvature and density at the centre of
Black_hole
the quantum loop algebra (i.e. the quantum affine algebra at vanishing central charge). For any finite-dimensional semisimple Lie algebra a, Drinfeld
Yangian
Matrices named after Élie Cartan
mathematician Élie Cartan. Amusingly, the Cartan matrices in the context of Lie algebras were first investigated by Wilhelm Killing, whereas the Killing form is
Cartan_matrix
Lie algebra, usually infinite-dimensional
a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently and simultaneously discovered them in 1968) is a Lie algebra, usually infinite-dimensional
Kac–Moody_algebra
Direct sum of simple Lie algebras
mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any non-zero
Semisimple_Lie_algebra
Invariance of operations under geometric translation
Diffeomorphism Loop Euclidean Lie algebras Lie group–Lie algebra correspondence Exponential map Adjoint representation Killing form Index Simple Lie algebra Loop algebra
Translational_symmetry
Riemannian manifold with SU(n) holonomy
In algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties
Calabi–Yau_manifold
Simple Lie group; the automorphism group of the octonions
form and a split real form), their Lie algebras g 2 , {\displaystyle {\mathfrak {g}}_{2},} as well as some algebraic groups. They are the smallest of the
G2_(mathematics)
Algebra used in 2D conformal field theories and string theory
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string
Vertex_operator_algebra
This example is related to Lie algebra gln and serves as a prototype for more complicated applications to loop Lie algebra for gln, Yangian and integrable
Manin_matrix
Branch of mathematics that studies algebraic structures
algebra in Wiktionary, the free dictionary. In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures
List of abstract algebra topics
List_of_abstract_algebra_topics
Branch of mathematics that studies abstract algebraic structures
abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures
Representation_theory
Extended physical object in string theory
mathematics that describes geometric shapes in algebraic terms and solves geometric problems using algebraic equations. On the other hand, the Fukaya category
Brane
Theories in particle physics and cosmology
been used to put weak limits on large extra dimensions. Kaluza–Klein theory Loop quantum cosmology "Session D9 - Experimental Tests of Short Range Gravitation"
Brane_cosmology
Symmetric bilinear form in mathematics
bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. Cartan's criteria (criterion of solvability and criterion of semisimplicity)
Killing_form
connected real-analytic Moufang loop. Any Lie algebra is a Malcev algebra. Any alternative algebra may be made into a Malcev algebra by defining the Malcev product
Malcev_algebra
field of real and complex numbers. A real Lie algebra g0 is called a real form of a complex Lie algebra g if g is the complexification of g0: g ≃ g 0
Real_form_(Lie_theory)
Subgroup of a root system's isometry group
In mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group
Weyl_group
Mathematical transformation in physics
infinitesimal rather than finite transformations, i.e. one considers the Lie algebra rather than the Lie group of transformations The invariance of a Hamiltonian
Time-translation_symmetry
Concept in mathematics
In mathematics, the special linear Lie algebra of order n {\displaystyle n} over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak
Special_linear_Lie_algebra
Type of subgroup of an algebraic group
the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example
Borel_subgroup
133-dimensional exceptional simple Lie group
the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the same notation E7
E7_(mathematics)
Branch of mathematics
In mathematics, a Lie algebra g {\displaystyle {\mathfrak {g}}} is nilpotent if its lower central series terminates in the zero subalgebra. The lower
Nilpotent_Lie_algebra
Map from a Lie algebra to its Lie group
In the theory of Lie groups, the exponential map is a map from the Lie algebra g {\displaystyle {\mathfrak {g}}} of a Lie group G {\displaystyle G} to
Exponential_map_(Lie_theory)
52-dimensional exceptional simple Lie group
In mathematics, F4 is a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The
F4_(mathematics)
Mathematical term
the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space. For example, if G is G L ( n , R ) {\displaystyle
Adjoint_representation
Hypothetical elementary particle that mediates gravity
semiclassical corrections such as one-loop diagrams behave normally. However, Feynman diagrams with at least two loops lead to ultraviolet divergences. These
Graviton
Branch of mathematics
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems
Algebra
78-dimensional exceptional simple Lie group
is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras e 6 {\displaystyle {\mathfrak {e}}_{6}} , all of which have
E6_(mathematics)
Algebraic structure with a binary operation
In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with
Magma_(algebra)
Theory of subatomic structure
called algebraic varieties which are defined by the vanishing of polynomials. For example, the Clebsch cubic illustrated on the right is an algebraic variety
String_theory
Principle in theoretical physics
asymptotic symmetry of 2+1 dimensional gravity gives rise to a Virasoro algebra, whose corresponding quantum theory is a 2-dimensional conformal field
Holographic_principle
Isometry group of Euclidean space
Poincaré Conformal Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞) Sp(∞) Algebraic groups Linear algebraic group Reductive group Abelian variety
Euclidean_group
Group of 𝑛 × 𝑛 invertible matrices
Semigroup Algebras. Springer Science & Business Media. 2.3: Full linear semigroup. ISBN 978-1-4020-5810-3. Meinolf Geck (2013). An Introduction to Algebraic Geometry
General_linear_group
Mathematical structure in abstract algebra
mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of
*-algebra
In mathematics, a type of algebra
a Lie algebra g {\displaystyle {\mathfrak {g}}} is solvable if its derived series terminates in the zero subalgebra. The derived Lie algebra of the Lie
Solvable_Lie_algebra
Hypothetical physical entity
may be open (forming a segment with two endpoints) or closed (forming a loop like a circle) and may have other special properties. Prior to 1995, there
String_(physics)
Mathematical group
algebra, and hence of the Lie group Sp ( 2 n , F ) {\displaystyle \operatorname {Sp} (2n,\mathbb {F} )} , is n {\displaystyle n} . The Lie algebra of
Symplectic_group
Hypothetical faster-than-light particle
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Tachyon
In algebra, let g be a Lie algebra over a field K. Let further ξ ∈ g ∗ {\displaystyle \xi \in {\mathfrak {g}}^{*}} be a one-form on g. The stabilizer
Index_of_a_Lie_algebra
Vector space equipped with a bilinear product
mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure
Algebra_over_a_field
Set with operations obeying given axioms
universal algebra, an algebraic structure is called an algebra; this term may be ambiguous, since, in other contexts, an algebra is an algebraic structure
Algebraic_structure
Lie groups and their associated Lie algebras
article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: the topological properties of the group (dimension;
Table_of_Lie_groups
Infinite dimensional Lie algebra occurring in quantum field theory
current algebras arise naturally as a central extension of the loop algebra, known as Kac–Moody algebras or, more specifically, affine Lie algebras. In this
Current_algebra
Group of unitary matrices
(n)} is a real Lie group of dimension n 2 {\displaystyle n^{2}} . The Lie algebra of U ( n ) {\displaystyle \operatorname {U} (n)} consists of n × n {\displaystyle
Unitary_group
Mathematical theory
two definitions of a compact Lie algebra. Extrinsically and topologically, a compact Lie algebra is the Lie algebra of a compact Lie group; this definition
Compact_Lie_algebra
Secondary characteristic classes of 3-manifolds
Geometric Invariants," from which the theory arose. Given a manifold and a Lie algebra valued 1-form A {\displaystyle \mathbf {A} } over it, we can define a family
Chern–Simons_form
Algebra where x(xy)=(xx)y and (yx)x=y(xx)
In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have x
Alternative_algebra
26-dimensional string theory
the Mandelstam variables. Genus 1 is the torus, and corresponds to the one-loop level. The partition function amounts to: Z 1 = ∫ M 1 d 2 τ 8 π 2 τ 2 2 1
Bosonic_string_theory
Overview of and topical guide to algebraic structures
types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures
Outline of algebraic structures
Outline_of_algebraic_structures
Class of quantum field theory models
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Non-linear_sigma_model
split Lie algebra is a pair ( g , h ) {\displaystyle ({\mathfrak {g}},{\mathfrak {h}})} where g {\displaystyle {\mathfrak {g}}} is a Lie algebra and h <
Split_Lie_algebra
Nilpotent subalgebra of a Lie algebra
is a nilpotent subalgebra h {\displaystyle {\mathfrak {h}}} of a Lie algebra g {\displaystyle {\mathfrak {g}}} that is self-normalising (if [ X , Y
Cartan_subalgebra
Process in particle physics
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Tachyon_condensation
Candidate "Theory of Everything"
in a mathematically consistent way. In comparison, other theories such as loop quantum gravity are considered by physicists and researchers to be less elegant
Introduction_to_M-theory
Type of geometry in mathematics
flat, as follows from an explicit construction and computation of Lie algebras. Until Shing-Tung Yau's resolution of the Calabi conjecture in the 1970s
Ricci-flat_manifold
Quantum mechanical model based on mathematical matrices
commutative law, and this relationship between geometry and the commutative algebra of coordinates is the starting point for much of modern geometry. Noncommutative
Matrix_theory_(physics)
Framework of superstring theory
commutative law, and this relationship between geometry and the commutative algebra of coordinates is the starting point for much of modern geometry. Noncommutative
M-theory
Collection of possible string theory vacua
"Counting flux vacua", JHEP 0401, 060 (2004). Baggott, Jim (2018). Quantum Space Loop Quantum Gravity and the Search for the Structure of Space, Time, and the
String_theory_landscape
Symmetry between bosons and fermions
algebra requires the introduction of a Z2-grading under which the bosons are the even elements and the fermions are the odd elements. Such an algebra
Supersymmetry
Group of matrices with determinant 1
{\displaystyle R} is a field). These elements are "special" in that they form an algebraic subvariety of the general linear group – they satisfy a polynomial equation
Special_linear_group
Seven-dimensional Riemannian manifold
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
G2_manifold
Unobservable spacetime curves needed to describe Dirac monopoles
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Dirac_string
Feature of a system that is preserved under some transformation
third infinitesimal transformation of the same kind hence they form a Lie algebra. A general coordinate transformation described as the general field h (
Symmetry_(physics)
Peruvian theoretical physicist (b. 1954)
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Barton_Zwiebach
Representation theory of the symmetries of non-relativistic quantum space
its Lie algebra. The method of induced representations will be used to survey these. We focus on the (centrally extended, Bargmann) Lie algebra here, because
Representation theory of the Galilean group
Representation_theory_of_the_Galilean_group
Universal construction of a complex Lie group from a real Lie group
is unique up to unique isomorphism. Its Lie algebra is a quotient of the complexification of the Lie algebra of the original group. They are isomorphic
Complexification_(Lie_group)
Type of 2D conformal field theory
group (or supergroup), and its symmetry algebra is the affine Lie algebra built from the corresponding Lie algebra (or Lie superalgebra). By extension, the
Wess–Zumino–Witten_model
Branch of string theory
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
F-theory
Representation theory of an important group in physics
finite-dimensional non-unitary indecomposable representations of the Poincaré algebra, which may be used for modelling of unstable particles. In case of spin
Representation theory of the Poincaré group
Representation_theory_of_the_Poincaré_group
Lie group of Lorentz transformations
group on Minkowski space uses biquaternions, which form a composition algebra. The isometry property of Lorentz transformations holds according to the
Lorentz_group
Algebraic structure
In mathematics and abstract algebra, a Bol loop is an algebraic structure generalizing the notion of group. Bol loops are named for the Dutch mathematician
Bol_loop
Theory of strings with supersymmetry
mathematical structure called composition algebra. In the findings of abstract algebra there are just seven composition algebras over the field of real numbers.
Superstring_theory
A quadratic Lie algebra is a Lie algebra together with a compatible symmetric bilinear form. Compatibility means that it is invariant under the adjoint
Quadratic_Lie_algebra
Description of gauge theories using loop operators
Wilson loops and holonomies. The loop representation is a quantum hamiltonian representation of gauge theories in terms of loops. The aim of the loop representation
Loop representation in gauge theories and quantum gravity
Loop_representation_in_gauge_theories_and_quantum_gravity
Group representation
of its Lie algebra; this correspondence is discussed in detail in subsequent sections. See representation of Lie algebras for the Lie algebra theory. In
Representation_of_a_Lie_group
Geometric arrangements of points, foundational to Lie theory
algebras, especially the classification and representation theory of semisimple Lie algebras. Since Lie groups (and some analogues such as algebraic groups)
Root_system
mathematical field of abstract algebra, isotopy is an equivalence relation used to classify the algebraic notion of loop. Isotopy for loops and quasigroups was introduced
Isotopy_of_loops
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces. Together with the commutative Lie group
Simple_Lie_group
Type of Riemannian manifold
integer n {\displaystyle n} , where H {\displaystyle \mathbb {H} } is the algebra of quaternions. The compact symplectic group Sp(n) can be considered as
Hyperkähler_manifold
one can associate a Lie algebra. Roughly, a Lie algebra g {\displaystyle {\mathfrak {g}}} is an algebra constituted by a vector space equipped with Lie
Lie_point_symmetry
Ring that is also a vector space or a module
In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center
Associative_algebra
Mathematical concept
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten
Worldsheet
In mathematics, especially abstract algebra, loop theory and quasigroup theory are active research areas with many open problems. As in other areas of
List of problems in loop theory and quasigroup theory
List_of_problems_in_loop_theory_and_quasigroup_theory
LOOP ALGEBRA
LOOP ALGEBRA
Girl/Female
Tamil
Look, Blessed with beauty, Shape, Beauty
Boy/Male
British, English
Barrel Maker
Boy/Male
Hindu
Flower
Boy/Male
Dutch, German, Hebrew
God will Multiply; God will Add
Surname or Lastname
North German
North German : habitational name from any of several places called Loose or Loosey.North German : from a short form of Nikolaus, German form of Nicholas.Dutch : nickname from the adjective loos ‘cunning’, ‘artful’, ‘guileful’.English : variant spelling of Loose.
Surname or Lastname
Dutch
Dutch : from a short form of the Germanic personal name Robrecht.Altered spelling of German Rupp.English : variant spelling of Roope.
Boy/Male
Indian, Sanskrit
Natural; Original; Innate; Simply; Loop
Male
French
French form of Latin Lupus, LOUP means "wolf."
Surname or Lastname
English
English : possibly from the Old Norse personal name Tópi, Túpi, a short form of a personal name formed with þórr, name of the Norse god of thunder (see Thor) + a second element with initial b-, for example björn ‘bear’, ‘warrior’. On the other hand, the name is found mainly in Dorset and Devon, which are far from areas of Scandinavian settlement.
Boy/Male
Bengali, Indian
Loop; Autumn
Girl/Female
Arabic, Muslim
Look
Surname or Lastname
English (Somerset)
English (Somerset) : habitational name from Look in Puncknowle, Dorset, named in Old English with lūce ‘enclosure’.English : possibly a variant of Luck 3.Northern English and Scottish : from a vernacular pet form of Lucas.Dutch (van Look) : topographic name from look ‘enclosure’ or habitational name from a place named with this word.Thomas Look (b. c. 1622) was in Lynn, MA, by 1646. His son, also called Thomas (b. 1646), moved to Martha’s Vineyard about 1670.
Girl/Female
Hindu
Look, Blessed with beauty, Shape, Beauty
Girl/Female
Gujarati, Hindu, Indian
Look
Boy/Male
Arabic
The Biblical Lot is the English Language Equivalent
Boy/Male
Hindu, Indian, Rajasthani, Sindhi, Traditional
Look; Beauty; Appearance
Male
Dutch
, Jehovah's gift (or grace).
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hindu, Indian
Look
Surname or Lastname
English
English : metonymic occupational name for a cooper, from Middle English coupe ‘tub’, ‘container’ (see Cooper). In some cases the surname may have been derived from a pub or house sign.Dutch : from koop ‘purchase’, ‘bargain’, hence a nickname for a haggler or a metonymic occupational name for a merchant.
LOOP ALGEBRA
LOOP ALGEBRA
Boy/Male
Arabic, Australian, Muslim
The First Prophet of Allah; The Adam is the Language Equivalent; Man; Earth
Girl/Female
German
Ruler of the Home or Estate
Boy/Male
Indian, Muslim
Mind
Girl/Female
Scottish
Heroic.
Boy/Male
Tamil
Lord Krishna
Boy/Male
Muslim
Blessed by (God), Fortunate
Boy/Male
Indian, Sanskrit
Soul
Girl/Female
Arabic, Muslim
Sober Minded; Sedate
Boy/Male
Arabic, Muslim
Pleasure of the Beneficent
Boy/Male
Tamil
LOOP ALGEBRA
LOOP ALGEBRA
LOOP ALGEBRA
LOOP ALGEBRA
LOOP ALGEBRA
n.
See 1st Loop.
n.
The act of looking; a glance; a sight; a view; -- often in certain phrases; as, to have, get, take, throw, or cast, a look.
v. t.
To make a loop of or in; to fasten with a loop or loops; -- often with up; as, to loop a string; to loop up a curtain.
v. t.
To let hang down; as, to lop the head.
v. t.
To look at; to turn the eyes toward.
v. t.
To influence, overawe, or subdue by looks or presence as, to look down opposition.
n.
Hence; Appearance; aspect; as, the house has a gloomy look; the affair has a bad look.
v. t.
To confine in a coop; hence, to shut up or confine in a narrow compass; to cramp; -- usually followed by up, sometimes by in.
v. i.
To direct the attention (to something); to consider; to examine; as, to look at an action.
n.
A curve of any kind in the form of a loop.
v. t.
To bind or fasten with hoops; as, to hoop a barrel or puncheon.
v. i.
To seem; to appear; to have a particular appearance; as, the patient looks better; the clouds look rainy.
n.
See Loon, the bird.
n.
A ring; a circular band; anything resembling a hoop, as the cylinder (cheese hoop) in which the curd is pressed in making cheese.
n.
Expression of the eyes and face; manner; as, a proud or defiant look.
v. t.
To express or manifest by a look.
v. t.
To beat in the game of loo by winning every trick.
n.
Any one of several aquatic, wed-footed, northern birds of the genus Urinator (formerly Colymbus), noted for their expertness in diving and swimming under water. The common loon, or great northern diver (Urinator imber, or Colymbus torquatus), and the red-throated loon or diver (U. septentrionalis), are the best known species. See Diver.
pl.
of Trou-de-loup
v. t.
To break over the poop or stern, as a wave.