Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (3): 545-549.

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Quadratic Hom-Novikov Superalgebras

SUN Bing1, ZHOU Xin2,3   

  1. 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China;3. School of Mathematical and Statistics, Northeast Normal University, Changchun 130024,  China
  • Received:2019-08-07 Online:2020-05-26 Published:2020-05-20
  • Contact: SUN Bing E-mail:sunb427@nenu.edu.cn

Abstract: We extended the quadratic Novikov superalgebras to quadratic HomNovikov superalgebras by a twisting map. 
When the twisting map in HomNovikov superalgebra was an automorphism or an involution, we gave the relationships between quadratic Hom-Novikov superalgebras and quadratic Novikov superalgebras, established the relations between quadratic Hom-Novikov superalgebras and quadratic Hom Lie superalgebras, proved that quadratic Hom-Novikov superalgebras were Hom associative algebras, and the adjacent Hom Lie superalgebras of quadratic Hom-Novikov superalgebras were 2step nilpotent.

Key words: Novikov superalgebra, HomNovikov superalgebra, quadratic HomNovikov superalgebra

CLC Number: 

  • O159