On (σ,τ)-Derivations of Group Algebra as Category Characters
2023 (English)In: Non-commutative and Non-associative Algebra and Analysis Structures: SPAS 2019, Västerås, Sweden, September 30 - October 2 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Springer , 2023, p. 81-99Conference paper, Published paper (Refereed)
Abstract [en]
For the space of (σ,τ)-derivations of the group algebra C[G] of a discrete countable group G, the decomposition theorem for the space of (σ,τ)-derivations, generalising the corresponding theorem on ordinary derivations on group algebras, is established in an algebraic context using groupoids and characters. Several corollaries and examples describing when all (σ,τ)-derivations are inner are obtained. Considered in details are cases of (σ,τ)-nilpotent groups and (σ,τ)-FC groups.
Place, publisher, year, edition, pages
Springer , 2023. p. 81-99
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
Group algebra, Derivation, (σ, τ)-derivation, Groupoid, Character
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64596DOI: 10.1007/978-3-031-32009-5_5Scopus ID: 2-s2.0-85174450681ISBN: 9783031320088 (print)OAI: oai:DiVA.org:mdh-64596DiVA, id: diva2:1808051
Conference
International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October, 2019
2023-10-302023-10-302023-12-27Bibliographically approved