Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 063, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.063 (Mi sigma846) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Leibniz Algebras and Lie Algebras

Geoffrey Masona, Gaywalee Yamskulnabc

a Department of Mathematics, University of California, Santa Cruz, CA 95064, USA
b Department of Mathematical Sciences, Illinois State University, Normal, IL 61790, USA
c Institute of Science, Walailak University, Nakon Si Thammarat, Thailand
Full-text PDF (312 kB) Citations (18)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2013.063
Abstract: This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Keywords: Leibniz algebras; Lie algebras.
Received: September 9, 2013; in final form October 19, 2013; Published online October 23, 2013
Bibliographic databases:
Document Type: Article
MSC: 17A32
Language: English
Citation: Geoffrey Mason, Gaywalee Yamskulna, “Leibniz Algebras and Lie Algebras”, SIGMA, 9 (2013), 063, 10 pp.
Citation in format AMSBIB
\Bibitem{MasYam13}
\by Geoffrey~Mason, Gaywalee~Yamskulna
\paper Leibniz Algebras and Lie Algebras
\jour SIGMA
\yr 2013
\vol 9
\papernumber 063
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma846}
\crossref{https://doi.org/10.3842/SIGMA.2013.063}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3141531}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000326019600001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84886667130}
Linking options:
  • https://www.mathnet.ru/eng/sigma846
  • https://www.mathnet.ru/eng/sigma/v9/p63
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:454
    Full-text PDF :62
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024