A Picard-Brauer exact sequence of categorical groups
type: Item
instance of: scholarly article
title: A Picard-Brauer exact sequence of categorical groups
zbMATH Open document ID: 1055.14020
DOI: 10.1016/S0022-4049(02)00142-1
published in: Journal of Pure and Applied Algebra
publication date: 2002-12-02T00:00:00Z
Mathematics Subject Classification ID: 14F22
Mathematics Subject Classification ID: 16D20
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 20L05
zbMATH DE Number: 1839075
zbMATH Keywords: monoidal groupoid
zbMATH Keywords: Picard categorical group
zbMATH Keywords: Brauer categorical group
zbMATH Keywords: braided monoidal category
author: E. M. Vitale
MaRDI profile type: Publication
cites work: The Brauer group of a ringed space
cites work: A direct sum decomposition for the Brauer group of H-module algebras
cites work: Introduction to bicategories
cites work: Théorie de Schreier supérieure
cites work: Q4098916
cites work: Q4111748
cites work: Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane's classification theorem
cites work: A 3-Dimensional Non-Abelian Cohomology of Groups With Applications to Homotopy Classification of Continuous Maps
cites work: On cat\(^ n\)-groups and homotopy types
cites work: Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory
cites work: Group-theoretic algebraic models for homotopy types
cites work: (Braided) tensor structures on homotopy groupoids and nerves of (Braided) categorical groups1
cites work: Schreier theory for central extensions of categorical groups1
cites work: Cohomology of cofibred categorical groups
cites work: Hopf algebras and Galois theory
cites work: Modules croisés généralisés de longueur 2
cites work: La formule de dualite globale
cites work: Q3812429
cites work: Q4710735
cites work: Q5586461
cites work: The Picard-Brauer five term exact sequence for a cocommutative finite Hopf algebra
cites work: Exact sequences for the galois group
cites work: Q4092157
cites work: Catégories cofibrées additives et complexe cotangent rélatif
cites work: Biextensions de faisceaux de groupes
cites work: Braided tensor categories
cites work: Q4948681
cites work: Coherence for compact closed categories
cites work: Coherence for categories with group structure: An alternative approach
cites work: Cohomologie non abelienne de structures algébriques
cites work: Spaces with finitely many non-trivial homotopy groups
cites work: The Brauer group of dimodule algebras
cites work: Q4851998
cites work: Q3953875
cites work: Catégories tannakiennes
cites work: Q3681004
cites work: Q3876103
cites work: On Villamayor and Zelinsky’s long exact sequence
cites work: The mapping cone method and the Hattori-Villamayor-Zelinsky sequences
cites work: Complexes of categories with Abelian group structure
cites work: Q3964690
cites work: Group cohomology for Picard groups
cites work: The Brauer group of a braided monoidal category
cites work: Exact sequences for relative Brauer groups and Picard groups
cites work: Brauer groups and class groups for Krull domains: a \(K\)-theoretic approach
cites work: Q3778858
cites work: Brauer groups and Amitsur cohomology for general commutative ring extensions
cites work: Q4888142
cites work: Q4402109
description: scientific article; zbMATH DE number 1839075