Frontiers of Mathematics in China >
Finite-dimensional simple modular Lie superalgebra M
Received date: 30 Oct 2011
Accepted date: 14 Sep 2012
Published date: 01 Apr 2013
Copyright
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.
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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