On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\)

DOI10.1016/j.jpaa.2017.02.010zbMath1373.20009arXiv1604.04437OpenAlexW2963884626WikidataQ115345412 ScholiaQ115345412MaRDI QIDQ2013545

Markus Linckelmann, Radha Kessar, David John Benson

Publication date: 8 August 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04437

zbMATH Keywords

Hochschild cohomologydefectBrauer correspondent

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular representations and characters (20C20) Cohomology of groups (20J06)

Related Items (12)

The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras ⋮ Nontriviality of the first Hochschild cohomology of some block algebras of finite groups ⋮ The first Hochschild cohomology as a Lie algebra ⋮ On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras ⋮ Groups of \(p\)-central type ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ Central elements of the Jennings basis and certain Morita invariants ⋮ BD algebras and group cohomology ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ On centers of blocks with one simple module ⋮ On the Lie algebra structure of 𝐻𝐻¹(𝐴) of a finite-dimensional algebra 𝐴 ⋮ Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra

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