Derivation algebra in noncommutative group algebras

DOI10.1134/S0081543820010022zbMath1445.16021OpenAlexW3030350402WikidataQ114616188 ScholiaQ114616188MaRDI QIDQ2185567

Yanyan Li

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820010022

zbMATH Keywords

group algebracentral derivations

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derivations, actions of Lie algebras (16W25)

Related Items (7)

A categorical approach to the study of derivations in group algebras ⋮ Differential calculi in group algebras and group ends ⋮ Derivations in group algebras and combinatorial invariants of groups ⋮ On \((\sigma, \tau)\)-derivations of group algebra as category characters ⋮ DERIVATIONS IN SEMIGROUP ALGEBRAS ⋮ Derivations of group rings for finite and FC groups ⋮ Combinatorial description of derivations in group algebras

Cites Work

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• The cyclic homology of the group rings
• Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold
• The derivation problem for group algebras
• The Derivation Problem for Group Algebras of Connected Locally Compact Groups
• A smooth version of Johnson’s problem on derivations of group algebras

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