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arXiv · 1712.08000

The construction and deformation of BiHom-Novikov agebras

Shuangjian Guo·Xiaohui Zhang·Shengxiang Wang
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Abstract

BiHom-Novikov agebra is a generalized Hom-Novikov algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to show that two classes of BiHom-Novikov algebras can be constructed from BiHom-commutative algebras together with derivations and BiHom-Novikov algebras with Rota-Baxter operators, respectively. We show that quadratic BiHom-Novikov algebras are associative algebras and the sub-adjacent BiHom-Lie algebras of BiHom-Novikov algebras are 2-step nilpotent. Moreover, we develop the 1-parameter formal deformation theory of BiHom-Novikov algebras.

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Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang. 2017-12-20. The construction and deformation of BiHom-Novikov agebras. https://doi.org/10.1016/j.geomphys.2018.06.011

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