Group cohomology for Picard groups

DOI10.1016/0021-8693(84)90114-5zbMath0554.18005OpenAlexW2166039644MaRDI QIDQ759829

K.-H. Ulbrich

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90114-5

zbMATH Keywords

categories with group structurecoherent G-module structurePicard categorythird cohomology group

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Nonabelian homological algebra (category-theoretic aspects) (18G50) Enriched categories (over closed or monoidal categories) (18D20)

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Singular extensions and the second cohomology categorical group, Théorie de Schreier supérieure, Homotopy classification of graded Picard categories, On cocycle bitorsors and gerbes over a Grothendieck topos, Generalized crossed products and Azumaya algebras, The homotopy categorical crossed module of a CW-complex, Structure and classification of monoidal groupoids, Unnamed Item, Derived 2-functors in (2-SGp), Cohomology with coefficients in stacks of abelian 2-groups, On the Teichmüller cocycle map, Group cohomology with coefficients in a crossed module, (Braided) tensor structures on homotopy groupoids and nerves of (Braided) categorical groups¹, Schreier theory for central extensions of categorical groups¹, Formal deformation of curves with group scheme action, Equivariant extensions of categorical groups, Chain complexes of symmetric categorical groups, Categorical \(G\)-crossed modules and 2-fold extensions, Covering groups and their integral models, Unnamed Item, Schreier theory for singular extensions of categorical groups and homotopy classification^∗∗, A Picard-Brauer exact sequence of categorical groups, Differential geometry of gerbes, Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane's classification theorem

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