On (λ,μ,γ)-Derivations of BiHom-Lie Algebras
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. 761-789Conference paper, Published paper (Refereed)
Abstract [en]
In this paper, we generalize the results about generalized derivations of Lie algebras to the case of BiHom-Lie algebras. In particular we give the classification of generalized derivations of Heisenberg BiHom-Lie algebras. The definition of the generalized derivation depends on some parameters (λ, μ, γ) ∈ C3 . In particular for (λ, μ, γ) = (1, 1, 1 ), we obtain classical concept of derivation of BiHom-Lie algebra and for (λ, μ, γ) = (1, 1, 0 ) we obtain the centroid of BiHom-Lie algebra. We give classifications of 2-dimensional BiHom-Lie algebra, centroids and derivations of 2-dimensional BiHom-Lie algebras.
Place, publisher, year, edition, pages Springer , 2023. p. 761-789
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
BiHom-Lie algebra, BiHom-Lie derivation, Derivation, Centroid
National Category
Algebra and Logic
Research subject Mathematics/Applied Mathematics
Identifiers URN: urn:nbn:se:mdh:diva-64591 DOI: 10.1007/978-3-031-32009-5_28 Scopus ID: 2-s2.0-85174436089 ISBN: 9783031320088 (print) OAI: oai:DiVA.org:mdh-64591 DiVA, id: diva2:1808062
Conference International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October 2019
2023-10-302023-10-302023-12-27 Bibliographically approved