Description of outer derivations of the group algebras
type: Item
instance of: scholarly article
title: Description of outer derivations of the group algebras
zbMATH Open document ID: 1490.16057
author: A. S. Mishchenko
published in: Topology and its Applications
publication date: 2020-04-07T00:00:00Z
review text: As clearly stated in the abstract, in this expository paper (it is a based on a talk given at the 2018 at the \textit{International Conference on Topology and its Applications} in Nafpaktos, Greece, and partially based on joint works with A. Arutyunov and A. Shternthe) the author studies the Lie algebra of derivations of the group algebra \(CG\) of a finitely generated discrete group \(G\). After having reported the reasons for a problem of this type and the historical developments of the topic, he investigates the algebra of outer derivation of \(CG\) and shows that it is isomorphic to the group of the one-dimensional cohomology with compact supports of the Cayley complex over the field of complex numbers.
reviewed by: Ernesto Spinelli
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 7187660
zbMATH Keywords: group algebras
zbMATH Keywords: derivations
zbMATH Keywords: Cayley complex
zbMATH Keywords: cohomology
MaRDI profile type: Publication
full work available at URL: j.topol.2019.107013
OpenAlex ID: W2996063802
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Wikidata QID: Q126563954
DOI: 10.1016/J.TOPOL.2019.107013
description: scientific article; zbMATH DE number 7187660