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Topics referred to by the same term
up involution in Wiktionary, the free dictionary. Involution may refer to: Involution (mathematics), a function that is its own inverse Involution algebra
Involution
1963 book by Clifford Geertz
Agricultural Involution: The Processes of Ecological Change in Indonesia is one of the most famous of the early works of Clifford Geertz. Its principal
Agricultural_Involution
Function that is its own inverse
In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain
Involution_(mathematics)
Economic concept that describes an excess of competition
Wiktionary, the free dictionary. Neijuan, sometimes known by the English term involution, is a Chinese term that describes a condition in which a system, institution
Neijuan
a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution also acts
Fricke_involution
Involution (shrinking) of the thymus after the neonatal period
Thymic involution is the shrinking (involution) of the thymus with age, resulting in changes in the architecture of the thymus and a decrease in tissue
Thymic_involution
1977 science fiction novel by Bruce Sterling
Involution Ocean is a science-fiction novel by American writer Bruce Sterling, published in 1977. Involution Ocean is a novel about a drug addict who joins
Involution_Ocean
Mathematical finite group theory
theory, the classical involution theorem of Aschbacher (1977a, 1977b, 1980) classifies simple groups with a classical involution and satisfying some other
Classical_involution_theorem
Shrinking of an organ to a former size
Involution is the shrinking or return of an organ to a former size. At a cellular level, involution is characterized by the process of proteolysis of
Involution_(medicine)
Semigroup in abstract algebra
In mathematics, particularly in abstract algebra, a semigroup with involution, or a *-semigroup, is a semigroup equipped with an involutive anti-automorphism
Semigroup_with_involution
Several notions of a counterpart to evolution
The term involution has various meanings. In some instances it refers to a process prior to evolution which gives rise to the cosmos, in others it is an
Involution_(esotericism)
Mathematical structure in abstract algebra
Hermitian adjoints. However, it may happen that an algebra admits no involution. Look up * or star in Wiktionary, the free dictionary. In mathematics
*-algebra
In algebraic combinatorics, a Bender–Knuth involution is an involution on the set of semistandard tableaux, introduced by Bender & Knuth (1972, pp. 46–47)
Bender–Knuth_involution
Number of ways to pair up n objects
In mathematics, the telephone numbers or the involution numbers form a sequence of integers that count the ways n people can be connected by person-to-person
Telephone number (mathematics)
Telephone_number_(mathematics)
Group in birational geometry
types: a de Jonquières involution, a Geiser involution, or a Bertini involution. The normalized fixed curve of a Geiser involution is a non-hyperelliptic
Cremona_group
Generalized matrix decomposition for Lie groups and Lie algebras
semisimple Lie algebra has a Cartan involution, and any two Cartan involutions are equivalent. A Cartan involution on s l n ( R ) {\displaystyle {\mathfrak
Cartan_decomposition
Linear or affine transformation which is its own inverse
In Euclidean geometry, an affine involution is an involution which is a linear or affine transformation over the Euclidean space R n {\displaystyle
Affine_involution
Element mapped to itself by a mathematical function
In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation
Fixed_point_(mathematics)
Range of related ideas and movements that have developed in the Western world
Western esotericism, also known as the Western mystery tradition, is a wide range of loosely related ideas and movements that developed within Western
Western_esotericism
Group theoretic operation
In mathematics, a Rosati involution, named after Carlo Rosati, is an involution of the rational endomorphism ring of an abelian variety induced by a polarisation
Rosati_involution
Theorem classifying finite simple groups
group is said to be of component type if for some centralizer C of an involution, C/O(C) has a component (where O(C) is the core of C, the maximal normal
Classification of finite simple groups
Classification_of_finite_simple_groups
Part of the theory of modular forms
identity; for this reason, the resulting operator is called an Atkin–Lehner involution. If e and f are both Hall divisors of N, then We and Wf commute modulo
Atkin–Lehner_theory
Natural number
separate forms in characteristic 2. A symmetry of order two is called an involution. Two is most commonly a determiner used with plural countable nouns, as
2
Category equipped with involution
involutive category or category with involution) is a category equipped with a certain structure called dagger or involution. The name dagger category was coined
Dagger_category
Sporadic simple group
This is because 1 of the conjugacy classes of involutions does not fix any points. Such an involution partitions the 4060 points of the graph into 2030
Rudvalis_group
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
parity under the Cartan involution, while h {\displaystyle {\mathfrak {h}}} has even parity. That is, denoting the Cartan involution at point p ∈ M {\displaystyle
Killing_vector_field
Top-to-bottom rearrangement of a musical interval, chord, or melody
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music
Inversion_(music)
standard Young tableaux of any given shape, which turns out to be an involution, although this is not obvious from the definition. One starts by emptying
Jeu_de_taquin
Type of permutation
of modules. Guibert, Pergola & Pinzani (2001) showed that vexillary involutions are enumerated by Motzkin numbers. Riffle shuffle permutation, a subclass
Vexillary_permutation
System of logic lacking the excluded middle law
distributive lattice, and ¬ is a De Morgan involution: ¬(x ∧ y) = ¬x ∨ ¬y and ¬¬x = x. (i.e. an involution that additionally satisfies De Morgan's laws)
De_Morgan_algebra
Geometric symmetry operation
preserves distances but reverses orientation. A point reflection is an involution: applying it twice is the identity transformation. An object that is invariant
Point_reflection
Sporadic simple group
Sporadic groups. Zvonimir Janko found J4 in 1975 by studying groups with an involution centralizer of the form 21 + 12.3.(M22:2). Its existence and uniqueness
Janko_group_J4
Sporadic simple group
outer automorphism group has order 2, and the group 2.HS.2 appears as an involution centralizer in the Harada–Norton group. HS is one of the 26 sporadic groups
Higman–Sims_group
Straight line that only contains one real point
of the double points (imaginary) of the overlapping involutions in which an overlapping involution pencil (real) is cut by real transversals is a pair
Imaginary_line_(mathematics)
Endocrine gland
about 40–50 g, following which it decreases in size in a process known as involution. The thymus is located in the anterior mediastinum. It is made up of two
Thymus
1998 studio album by Michael Marcus
Involution is an album by multi-instrumentalist Michael Marcus, with the Jaki Byard trio. This was Marcus's third album for Justin Time Records. The album
Involution_(album)
Method for producing composition algebras
Cayley–Dickson construction takes any algebra with involution to another algebra with involution of twice the dimension. Hurwitz's theorem states that
Cayley–Dickson_construction
1955 book by Meher Baba
of the atma (soul) through its imagined evolution, reincarnation, and involution, to its goal, its origin, of Paramatma (Over-soul). The journey winds
God_Speaks
Young of domestic cattle
It usually lasts around 1 month. The involution of the cervix takes a bit longer, approximately 45 days. Involution is an inflammatory process supported
Calf_(animal)
Anticommutating number
numbers, as this avoids some strange behaviors when a conjugation or involution is introduced. It is common to introduce an operator * on the Grassmann
Grassmann_number
Sporadic simple group
group on 100 points J2 has involutions moving all 100 points and involutions moving just 80 points. The former involutions are products of 25 double transportions
Janko_group_J2
British left-wing political novelist
Money Power Love (2017), The Little Voice (2016), Occupied (2015) and Involution & Evolution (2014). He's published three works of non-fiction: The Zionists
Joss_Sheldon
Term in mathematics
Satake diagrams are a generalization of Dynkin diagrams that classify involutions of root systems that are relevant in several contexts. They were introduced
Satake_diagram
Mathematical method in functional analysis
automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential for the theory of type III factors, and has led to a
Tomita–Takesaki_theory
Gamma matrices for arbitrary Clifford algebras
not a powerful p-group. In general, 2-groups have a large number of involutions; the gamma group does likewise. Three particular ones are singled out
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
Theorem about finite groups
count involutions (elements of order 2) in G. Perhaps more important is another result that the authors derive from the same count of involutions, namely
Brauer–Fowler_theorem
Algebraic structure used in theoretical physics
canonical involutive automorphism on any superalgebra called the grade involution. It is given on homogeneous elements by x ^ = ( − 1 ) | x | x {\displaystyle
Superalgebra
(with the trivial involution), as is any alternative algebra with involution, or any central simple algebra with involution. An involution here means a linear
Structurable_algebra
Sporadic simple group
Schur multiplier, and its outer automorphism group has order 2. It has an involution whose centralizer is of the form 2.HS.2, where HS is the Higman-Sims group
Harada–Norton_group
Yoga system of Sri Aurobindo
Mother (Mirra Alfassa). Central to this philosophy is the concept of involution, a process in which the Spirit plunges into the "Inconscience" of Matter
Integral_yoga
Homomorphism reversing the order of something
X^{\text{op}}} and acting as the identity on maps is a functor (indeed, an involution). In group theory, an antihomomorphism is a map between two groups that
Antihomomorphism
Type of group in mathematics
unitary groups attached to nondegenerate Hermitian forms relative to an involution. Over C {\displaystyle \mathbb {C} } , the connected simple classical
Classical_group
Belgian mathematician
study of involution algebras. In 1996, he was invited by the European Congress of Mathematics in Budapest to speak on "Algebras with involution and classical
Jean-Pierre_Tignol
Swiss mathematician born 1942
write The Book of Involutions published by the American Mathematical Society. This book is about "central simple algebras with involution, in relation to
Max-Albert_Knus
Algebra where division is always defined
group but respectively a commutative monoid and a commutative monoid with involution. A wheel is an algebraic structure ( W , 0 , 1 , + , ⋅ , / ) {\displaystyle
Wheel_theory
Theorem in group theory
The theorem states that if C {\displaystyle C} is the centralizer of an involution of a finite group, then every component of C / O ( C ) {\displaystyle
B-theorem
evolution aims to transform human existence into a divine life upon earth. Involution is the prerequisite for evolution. It is defined as the process by which
Evolution_(Sri_Aurobindo)
Square matrix which is its own inverse
by the matrix A n × n {\displaystyle {\mathbf {A}}_{n\times n}} is an involution if and only if A 2 = I , {\displaystyle {\mathbf {A}}^{2}={\mathbf {I}}
Involutory_matrix
Sporadic simple group
containing an involution whose centralizer is an extension of the extra special group 21+6 by the linear group L3(2), which is the same involution centralizer
Held_group
Natural number
Miki's first divine revelation and also her death. "Sloane's A000085 : Involution numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
26_(number)
Topological complex vector space
C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of
C*-algebra
Set of alternative guitar tunings
are not regular. The class of regular tunings is preserved under the involution from right-handed to left-handed tunings, as observed by William Sethares
Regular_tuning
American actor
school, Masson was cast in Feral by Morgan Jon Fox. He auditioned for Involution after seeing a casting call in Backstage Magazine, competing against more
Ryan_Masson
Irreducible nodal surface
genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x. The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian
Kummer_surface
Natural number
A000085 (Number of self-inverse permutations on n letters, also known as involutions)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane
1,000,000,000,000
Theorem of 2D geometry
{\displaystyle \sigma } be the involution of X sending a general (c,d) to the other point (c,d′) with the same first coordinate. Any involution of an elliptic curve
Poncelet's_closure_theorem
True when either but not both inputs are true
The function is linear. Involution: Exclusive or with one specified input, as a function of the other input, is an involution or self-inverse function;
Exclusive_or
Four finite groups derived from the Leech lattice
other than 2. Any involution in Co0 can be shown to be conjugate to an element of the Golay code. Co0 has 4 conjugacy classes of involutions. A permutation
Conway_group
(pseudo-)Riemannian manifold whose geodesics are reversible
antilinear involution τ of 𝔤c, while σ extends to a complex antilinear involution of 𝔤c commuting with τ and hence also a complex linear involution σ∘τ. The
Symmetric_space
Among alternative tunings for guitar, each augmented-fourths tuning is a regular tuning in which the musical intervals between successive open-string notes
Augmented-fourths_tuning
says that after a finite number of prolongations the system is either in involution (admits at least one 'large' integral manifold), or is impossible. The
Cartan–Kuranishi prolongation theorem
Cartan–Kuranishi_prolongation_theorem
centralizers of involutions, extending the results of Brauer & Fowler (1955). If a finite group G has exactly two conjugacy classes of involutions with representatives
Thompson_order_formula
Algebraic structure used in theoretical physics
In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie superalgebras
Lie_superalgebra
Chinese neologism, "lying flat"
their essential needs. Lying flat is frequently discussed alongside "involution" (Chinese: 内卷; pinyin: nèijuǎn), a term for competition that intensifies
Tang_ping
Mathematical formula
μ by adding r elements, no two in the same column. By applying the ω involution on the ring of symmetric functions, one obtains the dual Pieri rule for
Pieri's_formula
Concept in mathematics
relation between the number of involutions on Sn with the number of tableaux that can be formed from Sn (An involution is a permutation that is its own
Robinson–Schensted–Knuth correspondence
Robinson–Schensted–Knuth_correspondence
Concept in abstract algebra
groups of order p1+2n. Extraspecial groups often occur in centralizers of involutions. The ordinary character theory of extraspecial groups is well understood
Extraspecial_group
German mathematician (1832–1903)
condition) and differential geometry, as well as number theory, algebras with involution and classical mechanics. Rudolf Lipschitz was born on 14 May 1832 in Königsberg
Rudolf_Lipschitz
Non-associative algebras with positive-definite quadratic form
Evidently the involution has period two and preserves the inner product and norm. These operators have the following properties: the involution is an antiautomorphism
Hurwitz's theorem (composition algebras)
Hurwitz's_theorem_(composition_algebras)
{\displaystyle G} by the subgroup G σ {\displaystyle G^{\sigma }} fixed by some involution σ {\displaystyle \sigma } of G {\displaystyle G} over the complex numbers
Wonderful_compactification
Monster and modular connection
the –1 involution of the Leech lattice, there is an involution h of VL, and an irreducible h-twisted VL-module, which inherits an involution lifting
Monstrous_moonshine
Algebra of 4D spacetime
spacetime. All Clifford or geometric algebras have three main involutions: grade involution, reversion, and Clifford conjugation. If g ∈ G 3 {\displaystyle
Algebra_of_physical_space
Industrial action in which employees do no more than the minimum required
combined tang ping with involution, a process researched by American anthropologist Clifford Geertz in his 1963 book Agricultural Involution. The book gained
Work-to-rule
with parameters (36,14,4,6) There are 63 involutions (elements of order 2). A 168-subgroup contains 21 involutions, which are defined to be neighbors. Outside
Hall–Janko_graph
Calcarine fissure wall
avis, (calcarine spur) previously known as the hippocampus minor, is an involution of the wall of the lateral ventricle's posterior horn produced by the
Calcar_avis
In geometry, a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group
Point groups in four dimensions
Point_groups_in_four_dimensions
Capital and largest city of Spain
that ensued the end of Spanish Civil war, architecture experienced an involution, discarding rationalism and, eclecticism notwithstanding, going back to
Madrid
Universal construction of a complex Lie group from a real Lie group
}} Then Sp(n,C) is the fixed point subgroup of the involution θ(g) = A (gt)−1 A−1 of SL(2n,C). It leaves the subgroups N±, TC and B
Complexification_(Lie_group)
Natural number
form and the seventh of the form (22.q). a Lucas number. a telephone or involution number, the number of different ways of connecting 6 points with pairwise
76_(number)
In mathematics, element that equals its square
equals 1. So, for every left R-module, the multiplication by f is an involution of M; that is, it is an R-module homomorphism such that f2 is the identity
Idempotent_(ring_theory)
Sporadic simple group
as the unique simple group with abelian 2-Sylow subgroups and with an involution whose centralizer is isomorphic to the direct product of the group of
Janko_group_J1
Sporadic simple group
the Monster group is S3 × Th, so Th centralizes 3 involutions alongside the 3-cycle. These involutions are centralized by the Baby monster group, which
Thompson_sporadic_group
Type of mathematical group
generated by a conjugacy class of involutions, called the 3-transpositions, such that the product of any two involutions from the conjugacy class has order
3-transposition_group
Topics referred to by the same term
(disambiguation) Participation (disambiguation) Stakeholder (disambiguation) Involution (disambiguation) Specific senses "Involvement", 1980 episode of television
Involvement
Sporadic simple group
fixed by an outer involution in O'N:2 4 42· L3(4):21 161,280 = 29·32·5·7 2,857,239 = 32·72·11·19·31 the centralizer of an (inner) involution in O'N 5 (32:4
O'Nan_group
which the trace form defines an inner product. There is an associated involution a ↦ a* on A which gives rise to a complex inner product on A. The unitary
Mutation_(Jordan_algebra)
Condition for a mathematical function to map some value to itself
first place. Every involution on a finite set with an odd number of elements has a fixed point; more generally, for every involution on a finite set of
Fixed-point_theorem
Permutation that reverses binary numbers
original ordering on the items, so the bit reversal permutation is an involution. This permutation can be applied to any sequence in linear time while
Bit-reversal_permutation
Reversal of the order of elements of a binary relation
relation to the converse relation is an involution, so it induces the structure of a semigroup with involution on the binary relations on a set, or, more
Converse_relation
General concept and operation in mathematics
structures in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. In other cases
Duality_(mathematics)
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