Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 834–844
DOI: https://doi.org/10.33048/semi.2021.18.062
(Mi semr1404)
 

Mathematical logic, algebra and number theory

An example of a simple double Lie algebra

V. Gubarevab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
References:
Abstract: We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.
Keywords: double Lie algebra, Rota—Baxter operator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation MK-1241.2021.1.1
The work is supported by the grant of the President of the Russian Federation for young scientists (MK-1241.2021.1.1).
Received April 8, 2021, published July 30, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: 16W99
Language: English
Citation: V. Gubarev, “An example of a simple double Lie algebra”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 834–844
Citation in format AMSBIB
\Bibitem{Gub21}
\by V.~Gubarev
\paper An example of a simple double Lie algebra
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 834--844
\mathnet{http://mi.mathnet.ru/semr1404}
\crossref{https://doi.org/10.33048/semi.2021.18.062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000695712900001}
Linking options:
  • https://www.mathnet.ru/eng/semr1404
  • https://www.mathnet.ru/eng/semr/v18/i2/p834
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024