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Mathematical group of loops in a Lie group
mathematics, a loop group is, in the most common Lie-theoretic sense, the group LG = C∞(S1, G) of smooth maps from the circle S1 to a Lie group G, with multiplication
Loop_group
Three dimensional group structure
The loop braid group is a mathematical group structure that is used in some models of theoretical physics to model the exchange of particles with loop-like
Loop_braid_group
Type of Lie algebra of interest in physics
Lie group G forms an infinite-dimensional Lie group (Lie group in the sense we can define functional derivatives over it) called the loop group. The
Loop_algebra
Sound effect imitating the murmur of a crowd in the background
A group of actors brought together in the post-production stage of film production to create this murmur is known as a walla group or a loop group. According
Walla
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)
1962 single by Johnny Thunder
"Loop de Loop" is a song written by Teddy Vann and Joe Dong and performed by Johnny Thunder featuring The Bobbettes. It reached No. 4 on the U.S. pop chart
Loop_de_Loop
Topological space
based-homotopy equivalence classes of based loops in X, is a group, the fundamental group π1(X). The iterated loop spaces of X are formed by applying Ω a number
Loop_space
Romanian-American mathematician
mathematician. He studies algebraic geometry, algebraic topology, Lie groups and loop groups as well as their representations and their connections to mathematical
Constantin_Teleman
American mathematician (born 1931)
study of loop groups, for example proving the Gross ergodicity theorem for the pinned Wiener measure under the action of the smooth loop group. This result
Leonard_Gross
Rail tunnel through the Melbourne CBD
through the City Loop, organised into four separate groups, the Burnley, Caulfield, Clifton Hill/City Circle, and Northern groups. Each group has its own dedicated
City_Loop
Magma obeying the Latin square property
fact, a nonempty associative quasigroup is a group. A quasigroup that has an identity element is called a loop. There are at least two structurally equivalent
Quasigroup
2012 film by Rian Johnson
Looper is a 2012 American science fiction action thriller film written and directed by Rian Johnson, and produced by Ram Bergman and James D. Stern. It
Looper_(film)
American voice actor (born 1952)
ADR group, and so the ending song was "Smile, Darn Ya, Smile!" I did that one with Nancy Cartwright and a bunch of other people in the loop group, and
Bill_Farmer
Topics referred to by the same term
loop in Wiktionary, the free dictionary. A loop (knot) is one of the fundamental structures used to tie knots. Loop or LOOP may also refer to: Loop (1997
Loop
British leisure company
attractions. It was formerly named Looping Group until July 2026. The group, originally named Looping Group (Groupe Looping in French) was formed in 2011 after
Looping_Experiences
American actor
under the alternative spelling of his name, Iake Eissinmann, working as a loop group actor, on movies such as American Beauty, What Lies Beneath, Meet the
Ike_Eisenmann
American actor
Pie in the Sky - ADR Loop Group Profile for Murder - ADR Voice The Road to El Dorado - ADR Loop Group RocketMan - ADR Loop Group Saban's Adventures of Pinocchio
Steve_Bulen
Algebraic structure
a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced
Moufang_loop
British–Pakistani entrepreneur and investor
sale to the Looping Group in July 2025. He is chairman of M Investment Group and, since 2018, the majority shareholder and chair of Pulse Group. He has also
Mo_Chaudry
American voice casting director
the Galaxy, and others. She founded the voice casting company, The Looping Group. She and her company were mentioned in film critic, Roger Ebert's book
Barbara Harris (voice casting director)
Barbara_Harris_(voice_casting_director)
group. Find presentations for all nonassociative finite simple Moufang loops in the variety of Moufang loops. Proposed: by Petr Vojtěchovský at Loops
List of problems in loop theory and quasigroup theory
List_of_problems_in_loop_theory_and_quasigroup_theory
Measure of the structural complexity of a software program
{\displaystyle n+1} is the cyclomatic complexity. The fundamental group counts how many loops there are through the graph up to homotopy, aligning as expected
Cyclomatic_complexity
Theory of quantum gravity merging quantum mechanics and general relativity
Loop quantum gravity (LQG) is a theory of quantum gravity that incorporates matter of the Standard Model into the framework established for the intrinsic
Loop_quantum_gravity
fiction Category:Time loop television series Category:Time loop television episodes Category:Video games about time loops Category:Time loop novels Matthew Jones;
List of films featuring time loops
List_of_films_featuring_time_loops
Mathematical group of the homotopy classes of loops in a topological space
topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It
Fundamental_group
2026 concert tour by Ed Sheeran
The Loop Tour is the sixth concert tour by the English singer-songwriter Ed Sheeran, in support of his eighth studio album, Play (2025). The tour began
Loop_Tour
2021 Japanese visual novel video game
predicament who call themselves "loopers", and the two groups join forces to try to break out of the loop. Loopers is the third of Key's "kinetic novels"—after
Loopers
Car tunnel system in Winchester, Nevada, US
The Vegas Loop, originally known as the Las Vegas Convention Center Loop (LVCC Loop), is a car tunnel system that serves the Las Vegas Convention Center
Vegas_Loop
Group that is also a differentiable manifold with group operations that are smooth
classes of simply connected Lie groups. A Lie group G {\displaystyle G} is said to be simply connected if every loop in G {\displaystyle G} can be shrunk
Lie_group
American actor
Floor". Vanity Fair. Retrieved 28 December 2022. Actors in 'Looper' group Noah Segan Looper Davids, Brian (2022-11-20). "'Blood Relatives' Filmmaker-Star
Noah_Segan
2010 single by Kotoko
"Loop-the-Loop" is the 16th single of the J-pop singer Kotoko, released on October 20, 2010. The title track is used as the opening theme for the anime
Loop-the-Loop_(song)
American commercial real estate marketplace website
LoopNet is an online marketplace for commercial property, providing property listings and marketing solutions for property owners. Founded in 1995 by Dennis
LoopNet
American voice actress (born 1943)
Coordinator When in Rome - Loup Group Coordinator The Twilight of the Golds - ADR Loop Group Nice Guys Sleep Alone - ADR Loop Group "I Hate Wedding Veils!".
Melora_Harte
American mathematician
University of California, Berkeley in 1985 with thesis The geometry of loop groups under Isadore Singer. As a postdoc, Freed was a Moore Instructor at the
Dan_Freed
Algebra used in certain conformal field theories
Lie group, there is a rational conformal field theory whose primary fields correspond to the representations λ of some fixed level of loop group of G
Verlinde_algebra
Topics referred to by the same term
Look up the Loop in Wiktionary, the free dictionary. The Loop may refer to: The Loop, a 1992 novel by Joe Coomer The Loop, a 1998 novel by Nicholas Evans
The_Loop
American voice actor
Mojave Moon - ADR Loop Group Orguss 02 - ADR Script Street Fighter II: The Animated Movie - Casting Director The Prince of Egypt - ADR Group The Return of
Doug_Stone_(voice_actor)
Process where information about current status is used to influence future status
as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to feed back into itself. The notion of cause-and-effect
Feedback
Type of textile fastener
Velcro is a brand of versatile fastening devices, known as hook-and-loop fasteners, hook-and-pile fasteners, or touch fasteners, that allow two surfaces
Velcro
Localized collection of pus in body tissue
loop drainage over standard drainage and wound packing. In one study of 143 pediatric outcomes, a failure rate of 1.4% was reported in the loop group
Abscess
2004 single by Asian Kung-Fu Generation
"Loop & Loop" (ループ&ループ, Rūpu&Rūpu) is a song by the Japanese rock band Asian Kung-Fu Generation. It was the second single released from their second full-length
Loop_&_Loop
American actor and casting director (1951–2020)
featured on Mystery Science Theater 3000. Benedict also co-founded the ADR/Loop group Sync or Swim with his wife, Phoebe Scholfield. They wrote and directed
Jay_Benedict
Problem in computer networking
and as a result, in a group of nodes, the path to a particular destination forms a loop. In the simplest version, a routing loop of size two, node A thinks
Routing_loop
German fashion magazine
Beautiful Minds Media is a subsidiary of Looping Group, created by Dominik Wichmann (CEO of Looping Group) and Madame editor-in-chief, Petra Winter for
Madame_(magazine)
Topics referred to by the same term
animated cartoon Looping (education), the practice of moving groups of children up from one grade to the next with the same teacher Loop (computing), a
Looping
American mathematician (born 1958)
Hopkins, Michael J.; Teleman, Constantin (2003), "Twisted K-theory and loop group representations", arXiv:math/0312155 Freed, Daniel S.; Hopkins, Michael
Michael_J._Hopkins
English rock band
Loop are an English rock band, formed in 1986 by Robert Hampson in Croydon. The group topped the UK independent charts with their albums Fade Out (1989)
Loop_(band)
algebraic group G over a field k is an ind-scheme—a colimit of finite-dimensional schemes—which can be thought of as a flag variety for the loop group G(k((t)))
Affine_Grassmannian
ind-scheme is an infinite grassmannian (which is a quotient of the loop group of an algebraic group G.) formal scheme A. Beilinson, Vladimir Drinfel'd, Quantization
Ind-scheme
Mathematics concept
ISSN 1618-1913, MR 0195863, S2CID 4666554 Ginzburg, Victor (2000). "Perverse sheaves on a loop group and Langlands' duality". arXiv:alg-geom/9511007.
Satake_isomorphism
American actress (1939–2021)
Barnes, Mike (2021-09-17). "Sondra James, Actress and Founder of the Loop Group Speakeasy, Dies at 82". The Hollywood Reporter. Retrieved 2021-09-27.
Sondra_James
Type of Kac–Moody algebras
cohomology of the loop group of the corresponding simple compact Lie group is isomorphic to the integers. Central extensions of the affine Lie group by a single
Affine_Lie_algebra
Matrix decomposition in mathematics
a generalization of the LU decomposition (i.e. Gauss elimination) to loop groups. The factorization of an invertible matrix M ∈ G L n ( C [ z , z − 1
Birkhoff_factorization
Group of unitary complex matrices with determinant of 1
unitary group of degree n, denoted SU(n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group may
Special_unitary_group
Norway got a fourth goal in the 6th minute of added time when Haaland's looping header across goal was deflected by Aymen Hussein at the back post into
2026_FIFA_World_Cup_Group_I
2019 stage musical by Michael R. Jackson
A Strange Loop is a musical with book, music, and lyrics by Michael R. Jackson, which won the 2020 Pulitzer Prize for Drama. First produced off-Broadway
A_Strange_Loop
Universal construction of a complex Lie group from a real Lie group
universal complexification of a real Lie group is given by a continuous homomorphism of the group into a complex Lie group with the universal property that every
Complexification_(Lie_group)
Cycles going through a hierarchy
A strange loop is a cyclic structure that goes through several levels in a hierarchical system. It arises when, by moving only upwards or downwards through
Strange_loop
Australian mathematician
Loop Groups (Oxford Mathematical Monographs). New ed. Clarendon Press, Oxford 2003, ISBN 0-19-853561-9 (with Andrew Pressley). Lectures on Lie groups
Graeme_Segal
Protein structural motif
A basic helix–loop–helix (bHLH) is a protein structural motif that characterizes one of the largest families of dimerizing transcription factors. "Basic"
Basic_helix–loop–helix
Community area in Chicago, Illinois
The Loop is Chicago's central business district and one of the 77 municipally-designated community areas of Chicago in Illinois, United States. Located
Chicago_Loop
Shopping mall in Kissimmee, Florida
is split into two sections: Loop West and Loop East. Shops and attractions include a Regal Entertainment Group movie theater, Kohl's, JCPenney, Books-A-Million
The_Loop_(Kissimmee)
British-Lebanese mathematician (1929–2019)
dimensions the structure group of the gauge theory changes from a finite-dimensional group to an infinite-dimensional loop group. This gives another example
Michael_Atiyah
Swedish funk band
Dirty Loops is a band from Stockholm, Sweden, made up of Jonah Nilsson (keyboards and lead vocals), Henrik Linder (bass and backing vocals) and Aron Mellergård
Dirty_Loops
2001 studio album by I Am the World Trade Center
Out of the Loop is the debut album by American synthpop duo I Am the World Trade Center, released on July 17, 2001. Less than two months later, it gained
Out of the Loop (I Am the World Trade Center album)
Out_of_the_Loop_(I_Am_the_World_Trade_Center_album)
dialogue/ADR editor), Daniel Church (production sound mixer), Edie Mirman (loop group supervisor), Troy Porter, Jeff Courdie, Dean St. John (ADR mixers), Dennis
List of awards and nominations received by Gilmore Girls
List_of_awards_and_nominations_received_by_Gilmore_Girls
Chinese mathematician (born 1982)
Society, "[Zhu] studies the geometry and topology of flag varieties of loop groups and applies techniques from the geometric Langlands program to arithmetic
Xinwen_Zhu
Algorithm
The block nested loop join algorithm improves on the simple nested loop join by only scanning S {\displaystyle S} once for every group of R {\displaystyle
Block_nested_loop
Creating a "larger" Lie algebra from a smaller one, in one of several ways
algebra from projective group representations. Such a Lie algebra will contain central charges. Starting with a polynomial loop algebra over finite-dimensional
Lie_algebra_extension
1999 video game
high scores, went on to form the Farbrausch group of the Demoscene. Reception The PC version of Killer Loop received favourable reviews, while the PlayStation
Killer_Loop
English worldbeat group
Loop Guru is a worldbeat group consisting of bassist/guitarist Salman Gita (born Sam Dodson) and programmer Jamuud (born David Muddyman). They first met
Loop_Guru
Topics referred to by the same term
installation The Loop (CTA) Chicago Loop (band), a 1960s rock group Chicago Loop (film), a 1976 short film by James Benning Chicago Loop (novel), a novel
Chicago_Loop_(disambiguation)
Type of fixed loop knot
The Kalmyk loop (Russian: калмыцкий узел) is a fixed loop still largely unused in the West, but common in Russia and often used instead of the bowline
Kalmyk_loop
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M24 is a sporadic simple group of order 244,823,040 = 210 · 33 · 5 · 7 · 11 ·
Mathieu_group_M24
Orbital rapid transit line under construction in Melbourne, Australia
The Suburban Rail Loop (SRL) is a rapid transit system currently under construction in Melbourne, Victoria, Australia. The system is divided into three
Suburban_Rail_Loop
Thermal Wilson loop
In quantum field theory, the Polyakov loop is the thermal analogue of the Wilson loop, acting as an order parameter for confinement in pure gauge theories
Polyakov_loop
2010–2017) Ronde des Rondins (Tivoli from Zierer, 1989–2013) Bounty (Looping Starship, 1993–2002) Big Yoyo (Paratower, 1981–1998) Coccinelle (Tivoli
List of closed rides and attractions
List_of_closed_rides_and_attractions
1997 studio album by Stereolab
Dots and Loops is the fifth studio album by English-French rock band Stereolab. It was released on 22 September 1997 and was issued by Duophonic Records
Dots_and_Loops
Neighborhood in Chicago, Illinois, United States
South Loop is a Chicago neighborhood south of the Loop. The South Branch of the Chicago River flows through it. Chinatown is adjacent to the southwest
South_Loop
UK low-level aircraft training area
The Mach Loop (Welsh: Dolen Mach; also known as the Machynlleth Loop, Welsh: Dolen Machynlleth) is a series of valleys in west-central Wales, in the United
Mach_Loop
Taiwanese-American mathematician
to integrable PDEs that explains their hidden symmetries in terms of loop group actions. She is co-author of the book Submanifold Geometry and Critical
Chuu-Lian_Terng
Subgroup of a root system's isometry group
reflection group. In fact it turns out that most finite reflection groups are Weyl groups. Abstractly, Weyl groups are finite Coxeter groups, and are important
Weyl_group
Topological variant of the loop
topology, a free loop is a variant of the notion of a loop. Whereas a loop has a distinguished point on it, called its basepoint, a free loop lacks such a
Free_loop
2023 studio album by Dream Nails
"I love the juxtaposition of the album title, Doom Loop – i.e. negative, dark, heavy, difficult and a smiling, brazen, vampire, messy face. Actually, it's
Doom_Loop
end-to-end accuracy goal. Loop perforation techniques were first developed by MIT professor Martin C. Rinard and researchers in his group, Henry Hoffmann, Sasa
Loop_perforation
2nd episode of the 1st season of Severance
"Half Loop" is the second episode of the first season of the American science fiction psychological thriller television series Severance. The episode was
Half_Loop
2006 studio album by Goldfish
Caught in the Loop is the first album from the South African musical group Goldfish. It was released in 2006 by Black Mango Music in South Africa. Channel24
Caught_in_the_Loop
Diuretics that act along the loop of Henle in the kidneys
Loop diuretics are drugs that are often used for the treatment of hypertension and edema secondary to congestive heart failure, liver cirrhosis, or chronic
Loop_diuretic
Algebraic structure
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
Branch of mathematics that studies algebraic structures
theorem Cayley's theorem Burnside's lemma Burnside's problem Loop group Fundamental group Ring (mathematics) Commutative algebra, Commutative ring Ring
List of abstract algebra topics
List_of_abstract_algebra_topics
Nursery rhyme
Here we go Loop de Loop (a.k.a. "Looby Loo", "Loopty Loo", "Loop de Loo", or just "Dancing Looby") is a folk song and nursery rhyme for children. A version
Here_we_go_Loop_de_Loop
Sporadic simple group
In the area of modern algebra known as group theory, the Rudvalis group Ru is a sporadic simple group of order 145,926,144,000 = 214 · 33 · 53 · 7 ·
Rudvalis_group
Concept in algebraic topology
earlier notions of a mod p finite loop space. A p-compact group has many Lie-like properties like maximal tori and Weyl groups, which are defined purely homotopically
P-compact_group
Entertainment, cultural and restaurant district in University City, Missouri
The Delmar Loop, often referred to by St. Louis residents simply as The Loop, is an entertainment, cultural and restaurant district in University City
Delmar_Loop
homotopy (in a nice way), an infinite loop space machine produces a group completion of X together with infinite loop space structure. For example, one can
Infinite_loop_space_machine
Locally convex topological vector space that is also a complete metric space
setting. Another important example of a Fréchet Lie group is the loop group of a compact Lie group G , {\displaystyle G,} the smooth ( C ∞ {\displaystyle
Fréchet_space
Proposed highway in Texas
Loop 9 is a state highway under phased construction on the southern fringes of the Dallas/Fort Worth Metroplex. When fully completed, it will span approximately
Texas_State_Highway_Loop_9
Chicago neighborhood
Dearborn Park is a residential Chicago neighborhood in South Loop. It is part of the Loop and Near South Side community areas of Chicago, and has a public
Dearborn_Park
Sporadic simple group
In the area of modern algebra known as group theory, the Fischer group Fi22 is a sporadic simple group of order 64,561,751,654,400 = 217 · 39 · 52 ·
Fischer_group_Fi22
Animated children's television series for PBS Kids
the Loop (stylized in all caps) is a children's animated television series created by Dave Peth. It revolves around the adventures of Lyla Loops, a seven-year-old
Lyla_in_the_Loop
travel, tourism, insurance
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
LOOP GROUP
travel, tourism, insurance