Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 4, Pages 48–68
DOI: https://doi.org/10.26907/0021-3446-2021-4-48-68 (Mi ivm9665) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Killing form on Lie algebras

V. V. Gorbatsevich

Moscow, Russia
Full-text PDF (425 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-4-48-68
Abstract: Finite-dimensional Lie algebras, whose Killing form is trivial, are studied. The main properties of the form Killing are specified, a series of examples of Lie algebras with trivial or non-trivial Killing form are given. It is given a classification of Lie algebras of dimension $\le 5$ with trivial Killing form. Some results are found about the space of all Lie algebras with the trivial Killing form.
Keywords: Lie algebra, Killing form, space of Lie algebras.
Received: 12.05.2020
Revised: 12.05.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 4, Pages 44–60
DOI: https://doi.org/10.3103/S1066369X21040046
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. V. Gorbatsevich, “On the Killing form on Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4, 48–68; Russian Math. (Iz. VUZ), 65:4 (2021), 44–60
Citation in format AMSBIB
\Bibitem{Gor21}
\by V.~V.~Gorbatsevich
\paper On the Killing form on Lie algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 4
\pages 48--68
\mathnet{http://mi.mathnet.ru/ivm9665}
\crossref{https://doi.org/10.26907/0021-3446-2021-4-48-68}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 4
\pages 44--60
\crossref{https://doi.org/10.3103/S1066369X21040046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000653040900004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85106925042}
Linking options:
  • https://www.mathnet.ru/eng/ivm9665
  • https://www.mathnet.ru/eng/ivm/y2021/i4/p48
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025