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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), Semigroupoid (view)

searching for Groupoid 36 found (231 total)

alternate case: groupoid

Stack (mathematics) (5,008 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 (1,638 words) [view diff] exact match in snippet view article find links to article
(1,1,0),(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 (3,504 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 S{\displaystyle
Medial magma (850 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 (1,060 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 (3,699 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
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 (1,185 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 (628 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
Automorphism group (1,664 words) [view diff] exact match in snippet view article find links to article
viewed as a category with a single object * or, more generally, if G is a groupoid, then each functor F:G→C{\displaystyle F:G\to C}, C a category, is called
History of type theory (2,809 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
Keel–Mori theorem (246 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)
Symposium on Logic in Computer Science (672 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 A. Miller, "A multiple-conclusion
Hurewicz theorem (1,267 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 (X;A
Alfred H. Clifford (388 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
Moduli stack of vector bundles (313 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
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 (572 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
Vera Serganova (417 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
Lie algebra–valued differential form (1,495 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
Distribution (differential geometry) (3,651 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
Michael Brame (1,121 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 accurately represent the complex interactions
Giovanni Felder (780 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
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
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
Local system (2,481 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
Alberto Cattaneo (1,013 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
Éléments de mathématique (3,040 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 Unloopable
Robert Penner (1,268 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
Ralph Kaufmann (1,348 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
Gauge covariant derivative (4,055 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 (7,951 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
Algebraic K-theory (10,279 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 BG{\displaystyle B{\mathcal {G}}} moves the homotopy groups up one degree
Basic Number Theory (2,439 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
Congruence lattice problem (5,444 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.