Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 3, Pages 1–9
DOI: https://doi.org/10.4213/faa2924 (Mi faa2924) 		 
This article is cited in 12 scientific papers (total in 12 papers)

New Simple Modular Lie Superalgebras as Generalized Prolongs

S. Bouarroudja, P. Ya. Grozmanb, D. A. Leitesb

a United Arab Emirates University
b Stockholm University
Full-text PDF (236 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2924
Abstract: Over algebraically closed fields of characteristic $p>2$, — prolongations of simple finite dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain simplest gradings of these algebras. We discover several new simple Lie superalgebras, serial and exceptional, including super versions of Brown and Melikyan algebras, and thus corroborate the super analog of the Kostrikin–Shafarevich conjecture. Simple Lie superalgebras with $2\times 2$ Cartan matrices are classified.
Keywords: Cartan prolong, Lie superalgebra.
Received: 09.12.2006
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 3, Pages 161–168
DOI: https://doi.org/10.1007/s10688-008-0025-3
Bibliographic databases:
Document Type: Article
UDC: 512.554.38
Language: Russian
Citation: S. Bouarroudj, P. Ya. Grozman, D. A. Leites, “New Simple Modular Lie Superalgebras as Generalized Prolongs”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 1–9; Funct. Anal. Appl., 42:3 (2008), 161–168
Citation in format AMSBIB
\Bibitem{BouGroLei08}
\by S.~Bouarroudj, P.~Ya.~Grozman, D.~A.~Leites
\paper New Simple Modular Lie Superalgebras as Generalized Prolongs
\jour Funktsional. Anal. i Prilozhen.
\yr 2008
\vol 42
\issue 3
\pages 1--9
\mathnet{http://mi.mathnet.ru/faa2924}
\crossref{https://doi.org/10.4213/faa2924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2454472}
\zmath{https://zbmath.org/?q=an:1160.17012}
\elib{https://elibrary.ru/item.asp?id=11649384}
\transl
\jour Funct. Anal. Appl.
\yr 2008
\vol 42
\issue 3
\pages 161--168
\crossref{https://doi.org/10.1007/s10688-008-0025-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000259070800001}
\elib{https://elibrary.ru/item.asp?id=14779450}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-51549095595}
Linking options:
  • https://www.mathnet.ru/eng/faa2924
  • https://doi.org/10.4213/faa2924
  • https://www.mathnet.ru/eng/faa/v42/i3/p1
    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024