Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 2: 411 - 441

DOI: https://doi.org/10.1007/s11464-012-0243-0

RESEARCH ARTICLE

Finite-dimensional simple modular Lie superalgebra M

  • Lili MA 1 ,
  • Liangyun CHEN , 2 ,
  • Yongzheng ZHANG 1
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  • 1. School of Science, Qiqihar University, Qiqihar 161006, China
  • 2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received date: 30 Oct 2011

Accepted date: 14 Sep 2012

Published date: 01 Apr 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Modular Lie superalgebra; derivation superalgebra; nonnatural filtration

Cite this article

Lili MA , Liangyun CHEN , Yongzheng ZHANG . Finite-dimensional simple modular Lie superalgebra M[J]. Frontiers of Mathematics in China, 2013 , 8(2) : 411 -441 . DOI: 10.1007/s11464-012-0243-0

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