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doi:10.1007/s11464-012-0234-1

Front Math Chin

2012, Vol. 7

Issue (6) : 1169-1194 https://doi.org/10.1007/s11464-012-0234-1

RESEARCH ARTICLE

Derivations for even part of finite-dimensional modular Lie superalgebra Ω?

Zhu WEI, Yongzheng ZHANG(

)

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

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Abstract

Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601-3619] constructed a new family of finite-dimensional modular Lie superalgebra Ω?. Let Ω denote the even part of the Lie superalgebra Ω?.We first give the generator sets of the Lie algebra Ω. Then, we reduce the derivation of Ω to a certain form. With the reduced derivation and a torus of Ω, we determine the derivation algebra of Ω.

Keywords Modular Lie superalgebra derivation algebra torus

Corresponding Author(s): ZHANG Yongzheng,Email:zhyz@nenu.edu.cn

Issue Date: 01 December 2012

Cite this article:

Zhu WEI,Yongzheng ZHANG. Derivations for even part of finite-dimensional modular Lie superalgebra Ω?[J]. Front Math Chin, 2012, 7(6): 1169-1194.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0234-1
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I6/1169

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