New simple modular Lie superalgebras as generalized prolongs

被引：0
|
作者：
S. Bouarroudj
P. Ya. Grozman
D. A. Leites
机构：
[1] United Arab Emirates University,Department of Mathematics
[2] Equa Simulation AB,Department of Mathematics
[3] University of Stockholm,undefined
来源：
Functional Analysis and Its Applications | 2008年 / 42卷
关键词：
Cartan prolong; Lie superalgebra;
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学科分类号：
摘要：
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 × 2 Cartan matrices are classified.
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页码：161 / 168
页数：7
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