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Longer titles found: Groupoid algebra (view), Groupoid object (view), ∞-groupoid (view), Fundamental groupoid (view), Lie groupoid (view), Double groupoid (view), Mathieu groupoid (view), Partial groupoid (view), Quantum groupoid (view), Central groupoid (view), Action groupoid (view), Semigroupoid (view)

searching for groupoid 43 found (251 total)

alternate case: Groupoid

Stack (mathematics) (5,116 words) [view diff] exact match in snippet view article

stack in groupoids or a (2,1)-sheaf if it is also fibered in groupoids, meaning that its fibers (the inverse images of objects of C) are groupoids. Some

Hoffman–Singleton graph (1,356 words) [view diff] exact match in snippet view article find links to article

1,0),(1,2,0),(1,3,0),(1,4,0)\}} . (Although the authors use the word "groupoid", it is in the sense of a binary function or magma, not in the category-theoretic

Algebraic stack (3,767 words) [view diff] exact match in snippet view article find links to article

One of the motivating examples of an algebraic stack is to consider a groupoid scheme ( R , U , s , t , m ) {\displaystyle (R,U,s,t,m)} over a fixed scheme

Medial magma (865 words) [view diff] exact match in snippet view article find links to article

In abstract algebra, a medial magma or medial groupoid is a magma or groupoid (that is, a set with a binary operation) that satisfies the identity (x

N-ary group (1,164 words) [view diff] exact match in snippet view article find links to article

under any (not necessarily associative) n-ary operation is called an n-ary groupoid. The inverse axiom is generalized as follows: in the case of binary operations

Inverse semigroup (3,741 words) [view diff] exact match in snippet view article find links to article

but an inductive groupoid, in the sense of category theory. This close connection between inverse semigroups and inductive groupoids is embodied in the

Simplicial homotopy (994 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g:X\to Y} is an equivalence relation. Indeed, a Kan complex is an ∞-groupoid; i.e., every morphism (path) is invertible. Thus, if h is a homotopy from

Centipede mathematics (371 words) [view diff] exact match in snippet view article find links to article

the associativity restriction is also discarded one gets a magma or a groupoid. The restrictions that define an abelian group may be removed in different

Quotient stack (1,247 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X} , the X {\displaystyle X} -points of the moduli stack are the groupoid of principal G m {\displaystyle \mathbb {G} _{m}} -bundles P → X {\displaystyle

Graph algebra (622 words) [view diff] exact match in snippet view article find links to article

in constructions concerning dualities, equational theories, flatness, groupoid rings, topologies, varieties, finite-state machines, tree languages and

Dorina Mitrea (697 words) [view diff] exact match in snippet view article find links to article

Equations, and Harmonic Analysis (Universitext, Springer, 2013; 2nd ed., 2018) Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces

Absolute difference (814 words) [view diff] exact match in snippet view article find links to article

Talukdar, D.; Das, N. R. (July 1996). "80.33 Measuring associativity in a groupoid of natural numbers". The Mathematical Gazette. 80 (488): 401–404. doi:10

Keel–Mori theorem (250 words) [view diff] exact match in snippet view article find links to article

finite type over a locally Noetherian base. Suppose that j:R→X×X is a flat groupoid whose stabilizer j−1Δ is finite over X (where Δ is the diagonal of X×X)

Alfred H. Clifford (393 words) [view diff] exact match in snippet view article find links to article

American Mathematical Society Clifford, Alfred. H. (1974), The Partial Groupoid of Idempotents of a Regular Semigroup, Tulane University, Department of

Symposium on Logic in Computer Science (670 words) [view diff] exact match in snippet view article find links to article

subtyping for mobile processes" Martin Hofmann [de], Thomas Streicher, "The groupoid model refutes uniqueness of identity proofs" Dale Miller, "A multiple-conclusion

History of type theory (2,823 words) [view diff] exact match in snippet view article find links to article

was not required by the rules of the identity type. In their paper, "The Groupoid Model Refutes Uniqueness of Identity Proofs", they showed that equality

Hurewicz theorem (1,305 words) [view diff] exact match in snippet view article find links to article

proof requires development of techniques of a cubical higher homotopy groupoid of a filtered space. For any triad of spaces ( X ; A , B ) {\displaystyle

List of finite-dimensional Nichols algebras (1,993 words) [view diff] exact match in snippet view article find links to article

Nichols algebra there is by attached a generalized root system and a Weyl groupoid. These are classified in. In particular several Dynkin diagrams (for inequivalent

Artin's criterion (582 words) [view diff] exact match in snippet view article find links to article

p:F\to (Sch/S)} will be a category fibered in groupoids, F ( X ) {\displaystyle F(X)} will be the groupoid lying over X → S {\displaystyle X\to S} . A stack

Moduli stack of vector bundles (324 words) [view diff] exact match in snippet view article find links to article

over U where every morphism is an isomorphism (i.e., each fiber of p is a groupoid). classifying stack moduli stack of principal bundles Behrend 2002, Example

Vera Serganova (436 words) [view diff] exact match in snippet view article find links to article

Mathématiques. June 29, 2018. "Generalized Kac-Moody Superalgebras and Root Groupoid". YouTube. Fields Institute. May 3, 2022; The Pursuit of Symmetry: A Conference

Giovanni Felder (785 words) [view diff] exact match in snippet view article find links to article

quantization of Poisson manifolds as well as a description of the symplectic groupoid integrating a Poisson manifold as an infinite-dimensional symplectic quotient

Michael Brame (1,098 words) [view diff] exact match in snippet view article find links to article

structure. As Brame emphasized, this approach relies on a non-associative groupoid structure with inverses to represent the interactions of lexical items

Lie algebra–valued differential form (1,555 words) [view diff] exact match in snippet view article find links to article

Differential Geometry (Wiley Classics Library) Volume 1, 2. Wedge Product of Lie Algebra Valued One-Form groupoid of Lie-algebra valued forms at the nLab

∞-Chern–Weil theory (1,233 words) [view diff] exact match in snippet view article find links to article

∞-groupoids, it corresponds to forming the ∞-category with a single object. Let H {\displaystyle \mathbf {H} } be a ∞-topos. The fundamental ∞-groupoid

Alberto Cattaneo (1,036 words) [view diff] exact match in snippet view article find links to article

2003 by Maxim Kontsevich), as well as a description of the symplectic groupoid integrating a Poisson manifold as an infinite-dimensional symplectic quotient

Group scheme (2,860 words) [view diff] exact match in snippet view article find links to article

conjecture. Fundamental group scheme Geometric invariant theory GIT quotient Groupoid scheme Group-scheme action Group-stack Invariant theory Quotient stack

Identity type (407 words) [view diff] exact match in snippet view article find links to article

type theory (PDF). Hofmann, Martin; Streicher, Thomas (July 1994). "The groupoid model refutes uniqueness of identity proofs". Proceedings Ninth Annual

Distribution (differential geometry) (4,122 words) [view diff] exact match in snippet view article

doi:10.25537/dm.2020v25.1571-1652. Debord, Claire (2001-07-01). "Holonomy Groupoids of Singular Foliations". Journal of Differential Geometry. 58 (3). doi:10

Local system (2,681 words) [view diff] exact match in snippet view article find links to article

{\mathcal {L}}\colon \Pi _{1}(X)\to {\textbf {Mod}}(R)} from the fundamental groupoid of X {\displaystyle X} to the category of modules over a commutative ring

Ralph Kaufmann (1,327 words) [view diff] exact match in snippet view article find links to article

Ralph M., Khlebnikov, Sergei and Wehefritz-Kaufmann, Birgit. "Re-gauging groupoid, symmetries and degeneracies for Graph Hamiltonians and applications to

Robert Penner (1,273 words) [view diff] exact match in snippet view article find links to article

(2009). "Canonical extensions of the Johnson homomorphisms to the Torelli groupoid". Advances in Mathematics. 221 (2): 627–659. doi:10.1016/j.aim.2009.01

Éléments de mathématique (3,110 words) [view diff] exact match in snippet view article find links to article

1 Covering Spaces 2 Groupoïdes 2 Groupoids 3 Homotopie et groupoïde de Poincaré 3 Homotopy and the Poincaré Groupoid 4 Espaces délaçables 4 Deloopable

Equality (mathematics) (7,955 words) [view diff] exact match in snippet view article

Retrieved 26 September 2022. Hofmann, Martin; Streicher, Thomas (1998). "The groupoid interpretation of type theory". In Sambin, Giovanni; Smith, Jan M. (eds

Dorette Pronk (438 words) [view diff] exact match in snippet view article find links to article

degree in 1991 and completed her Ph.D. in 1995. Her doctoral dissertation, Groupoid Representations for Sheaves on Orbifolds, was jointly promoted by Dirk

Gauge covariant derivative (4,484 words) [view diff] exact match in snippet view article find links to article

This leads to the idea of modding out the gauge group to obtain the gauge groupoid as the closest description of the gauge connection in quantum field theory

Foliation (8,006 words) [view diff] exact match in snippet view article find links to article

holonomy pseudogroup of general foliated manifolds, the germinal holonomy groupoid of general foliated manifolds, the germinal holonomy group of a leaf, and

Timeline of quantum mechanics (10,498 words) [view diff] exact match in snippet view article find links to article

theoretical physicists and mathematicians focused on quantum group and quantum groupoid applications in quantum theories; the proceedings of the meeting are published

Algebraic K-theory (10,636 words) [view diff] exact match in snippet view article find links to article

fixed zero-object 0 {\displaystyle 0} . Note the classifying space of a groupoid B G {\displaystyle B{\mathcal {G}}} moves the homotopy groups up one degree

Basic Number Theory (2,410 words) [view diff] exact match in snippet view article find links to article

A-field is defined, and used to prove further results on the norm group and groupoid of maximal ideals in a simple algebra over an A-field. The reciprocity

Pasting theorem (1,136 words) [view diff] exact match in snippet view article find links to article

diagram in a Gray-category has a unique composition up to a contractible groupoid of choices. For every positive natural number n, every labelled n-pasting

Congruence lattice problem (5,505 words) [view diff] exact match in snippet view article find links to article

lattice with compact unit is isomorphic to the congruence lattice of some groupoid. The congruence lattice Con A of an algebra A is an algebraic lattice.

Henryk Minc (1,429 words) [view diff] exact match in snippet view article find links to article

of Elements of a given Degree in the free commutative entropic cyclic Groupoid". Proceedings of the Edinburgh Mathematical Society. 11 (4): 223–224. doi:10