Abstract
BiHom-Novikov superalgebras are generalized Novikov superalgebras endowed with two commuting multiplicative linear maps. The main purpose of this paper is to show the structure and representation of BiHom-Novikov superalgebras. We obtain the relationship between Novikov superalgebras and BiHom-Novikov superalgebras. We show that quadratic BiHom-Novikov superalgebras are in connection with 2 different quadratic BiHom-Lie superalgebras. Moreover, we develop the 1-parameter formal deformation theory of BiHom-Novikov superalgebras.
Citation
Abdelkader Ben Hassine. Liangyun Chen. Chang Sun. "Representations and one-parameter formal deformations of Bihom-Novikov superalgebras." Rocky Mountain J. Math. 51 (2) 423 - 438, April 2021. https://doi.org/10.1216/rmj.2021.51.423
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