Finite-dimensional simple modular Lie superalgebra ℳ

Abstract

A new family of finite-dimensional simple modular Lie superalgebra ℳ is constructed based on results of Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601–3619]. The simplicity and generators of ℳ are discussed and the derivation superalgebra of ℳ is characterized. Furthermore, the invariance of the nonnatural filtration of ℳ is determined by the method of minimal dimension of image spaces.

Keywords

Modular Lie superalgebra / derivation superalgebra / nonnatural filtration

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