一般线性李超代数在广义Witt李超代数中的中心化子

Abstract

Abstract: We discussed a class of centralizer of the general linear Lie superalgebra by using homological method. Firstly, the general linear Lie superalgebras were divided into three cases for structural analysis, namely, gl(m,n),gl(m,0) and gl(0,n), where m and n were not zero. Secondly, the centralizers of the even and odd situation of the three cases in the generalized Witt Lie superalgebras were calculated respectively. Finally, the structure of this kind of centralizer was given.

Key words: centralizer, Lie superalgebra, zero cohomology group

CLC Number:

O152.5

MAO Dan, ZHENG Keli. Centralizer of General Linear Lie Superalgebra in Generalized Witt Lie Superalgebra[J].Journal of Jilin University Science Edition, 2022, 60(1): 27-0034.

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Centralizer of General Linear Lie Superalgebra in Generalized Witt Lie Superalgebra

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