Hom-Jordan李超代数的交换扩张

Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (4): 803-807.

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Abelian Extensions of Hom-Jordan Lie Superalgebras

MA Lili, LI Qiang

School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China

Received:2019-10-25 Online:2020-07-26 Published:2020-07-16
Contact: MA Lili E-mail:limary@163.com

Abstract

Abstract: Using representations and cohomologies of HomJordan Lie superalgebra T, we gave that the necessary and sufficient conditions for constructing HomJordan Lie superalgebra TV and proved that equivalent abelian extensions of Hom-Jordan Lie superalgebras gave the same representation. Then, we obtained a 2-cocycle by means of representations and abelian extensions.

Key words: Hom-Jordan Lie superalgebra, representation, 2-cocycle, abelian extension

CLC Number:

O152.5

MA Lili, LI Qiang. Abelian Extensions of Hom-Jordan Lie Superalgebras[J].Journal of Jilin University Science Edition, 2020, 58(4): 803-807.

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Abelian Extensions of Hom-Jordan Lie Superalgebras

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