Title: On the modular Lie superalgebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>Ω</mml:mi></mml:math>
Abstract: A class of finite-dimensional simple modular Lie superalgebra Ω was constructed and its derivation superalgebra was determined in Zhang and Zhang (2009) [24]. The purpose of the present paper is to continue the investigation of finite-dimensional modular Lie superalgebra Ω. A nonnatural filtration of finite-dimensional modular Lie superalgebra Ω over a field of positive characteristic is determined. It is proved that the nonnatural filtration of Ω is invariant under the automorphism group of Ω. Moreover, we obtain the sufficient and necessary conditions of Ω(r,m,q,s¯,H)≅Ω(r′,m′,q′,s¯′,H′), i.e., we classified the Lie superalgebra of Ω type.
Publication Year: 2011
Publication Date: 2011-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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