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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)
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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
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    • 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
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