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 Eurasian Math. J., 2018, Volume 9, Number 3, Pages 8–13 (Mi emj301)

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

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).

DOI: https://doi.org/10.32523/2077-9879-2018-9-3-8-13

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MSC: 16W25, 18A05, 05E15
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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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