Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 12 scientific papers (total in 12 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 (12)
References:
PDF
HTML
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
\Bibitem{Aru20}
\by A.~A.~Arutyunov
\paper Derivation Algebra in Noncommutative Group Algebras
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 308
\pages 28--41
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4048}
\crossref{https://doi.org/10.4213/tm4048}
\elib{https://elibrary.ru/item.asp?id=43288122}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 308
\pages 22--34
\crossref{https://doi.org/10.1134/S0081543820010022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000535370800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085304582}
Linking options:
  • https://www.mathnet.ru/eng/tm4048
  • https://doi.org/10.4213/tm4048
  • https://www.mathnet.ru/eng/tm/v308/p28
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:514
    Full-text PDF :135
    References:40
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024