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Eurasian Mathematical Journal, 2018, Volume 9, Number 3, Pages 8–13
DOI: https://doi.org/10.32523/2077-9879-2018-9-3-8-13 (Mi emj301) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On derivations associated with different algebraic structures in group algebras

A. A. Arutyunov

Department of higher mathematics, Moscow Institute of Physics and Technology (State University), 9 Dolgoprudny, Institutskiy per., 141701 Moscow Region, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2018-9-3-8-13
Abstract: The paper is devoted to the comparison of derivation algebras arising in associative and Lie structures of group algebras. We shall prove that an algebra of derivations given by Lie-structure contains an algebra of associative derivations. We will give a description of Lie derivations in terms of the gruppoid associated with an inner action of the group.
Keywords and phrases: Lie algebras, derivations, group algebras, gruppoid.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-1938.2017.1
This research was supported by the grant of the President of the Russian Federation (Project no. MK-1938.2017.1).
Received: 10.02.2018
Bibliographic databases:
Document Type: Article
MSC: 16W25, 18A05, 05E15
Language: English
Citation: A. A. Arutyunov, “On derivations associated with different algebraic structures in group algebras”, Eurasian Math. J., 9:3 (2018), 8–13
Citation in format AMSBIB
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\by A.~A.~Arutyunov
\paper On derivations associated with different algebraic structures in group algebras
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 3
\pages 8--13
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