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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
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
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
Linking options:
https://www.mathnet.ru/eng/faa2924https://doi.org/10.4213/faa2924 https://www.mathnet.ru/eng/faa/v42/i3/p1
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Abstract page: | 632 | Full-text PDF : | 213 | References: | 75 | First page: | 10 |
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