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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 28–41
DOI: https://doi.org/10.4213/tm4048 (Mi tm4048) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Derivation Algebra in Noncommutative Group Algebras

A. A. Arutyunov

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
Full-text PDF (217 kB) Citations (11)
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DOI: https://doi.org/10.4213/tm4048
Abstract: For a generally infinite noncommutative discrete group $G$, we study derivation algebras in the group algebra of $G$ in terms of characters on a groupoid associated with the group. We obtain necessary conditions for a character to define a derivation. Using these conditions, we analyze some examples. In particular, we describe a derivation algebra in the case when the group is a nilpotent group of rank $2$.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2364.2020.1
Russian Science Foundation 20-11-20131
This work (except for Subsection 3.3) was supported by a grant of the President of the Russian Federation, project no. MK-2364.2020.1. The study presented in Subsection 3.3 was supported by the Russian Science Foundation under grant 20-11-20131.
Received: April 18, 2019
Revised: June 29, 2019
Accepted: October 26, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 22–34
DOI: https://doi.org/10.1134/S0081543820010022
Bibliographic databases:
Document Type: Article
UDC: 512.552.7+512.554.35
Language: Russian
Citation: A. A. Arutyunov, “Derivation Algebra in Noncommutative Group Algebras”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 28–41; Proc. Steklov Inst. Math., 308 (2020), 22–34
Citation in format AMSBIB
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\paper Derivation Algebra in Noncommutative Group Algebras
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\bookinfo Collected papers
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\yr 2020
\vol 308
\pages 28--41
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 11 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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