Determination of a double Lie groupoid by its core diagram
type: Item
instance of: scholarly article
title: Determination of a double Lie groupoid by its core diagram
zbMATH Open document ID: 0766.22001
DOI: 10.1016/0022-4049(92)90145-6
published in: Journal of Pure and Applied Algebra
publication date: 1993-01-16T00:00:00Z
Mathematics Subject Classification ID: 22A22
Mathematics Subject Classification ID: 18B40
zbMATH DE Number: 89584
zbMATH Keywords: double groupoid
zbMATH Keywords: base-preserving morphism
zbMATH Keywords: double Lie groupoid
zbMATH Keywords: local triviality
zbMATH Keywords: core diagram
zbMATH Keywords: equivalences
zbMATH Keywords: crossed modules
zbMATH Keywords: special double groupoids
author: Ronald Brown
author: Kirill Charles Howard Mackenzie
MaRDI profile type: Publication
full work available at URL: 0022-4049(92)90145-6
OpenAlex ID: W1975666635
Wikidata QID: Q115364426
cites work: Fibrations of groupoids
cites work: On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
cites work: On the algebra of cubes
cites work: Colimit theorems for relative homotopy groups
cites work: Q4098916
cites work: Q4111748
cites work: Q3050615
cites work: Catégories structurées
cites work: Algebraic constructions in the category of Lie algebroids
cites work: Fibrations and Quotients of Differentiable Groupoids
cites work: Spaces with finitely many non-trivial homotopy groups
cites work: Poisson Lie groups, dressing transformations, and Bruhat decompositions
cites work: Double Lie algebroids and second-order geometry. II
cites work: Q3789805
cites work: On extensions of principal bundles
cites work: Classification of principal bundles and Lie groupoids with prescribed gauge group bundle
cites work: Q5639839
cites work: Q5559597
cites work: Q4772440
cites work: Q4772439
cites work: Q4772441
cites work: Q3744911
cites work: Coisotropic calculus and Poisson groupoids
Recommended article: Transitive double Lie algebroids via core diagrams
Recommended article: From double Lie groupoids to local Lie 2-groupoids
Recommended article: The structure of double groupoids
Recommended article: On slim double Lie groupoids
Recommended article: Double coset decompositions of reductive Lie groups arising from two involutions
Recommended article: Double affine Lie algebras and finite groups
Recommended article: Q5135429
Recommended article: Q6046604
Recommended article: Orbit method and dual topology for certain Lie groups
Recommended article: Representations of Double Coset Lie Hypergroups
description: scientific article; zbMATH DE number 89584