Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (1): 60-64.

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Dual Representation of n-Ary Multiplicative Hom-Lie Superalgebras

TIAN Lijun1, GUAN Baoling2   

  1. 1. School of Communication, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China; 2. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China
  • Received:2020-03-16 Online:2021-01-26 Published:2021-01-26

Abstract: We generalized the dual representation of n-ary multiplicative Hom-Lie algebras to n-ary multiplicative Hom-Lie superalgebras, gave the definition of n-ary multiplicative Hom-Lie superalgebras, and gave necessary and sufficient conditions that representation of n-ary multiplicative Hom-Lie superalgebras was a dual representation.

Key words: n-ary multiplicative Hom-Lie superalgebras, dual representation, representation

CLC Number: 

  • O152.5