Finite-dimensional simple modular Lie superalgebra ℳ

Ma, Lili; Chen, Liangyun; Zhang, Yongzheng
April 2013
Frontiers of Mathematics in China;Apr2013, Vol. 8 Issue 2, p411
Academic Journal
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.


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