2017/12/20 by Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang · 1 citation
Mathematics · #math.RA #msc:17B75 #msc:17B40 #msc:17B55
paper · pdf · doi:10.1016/j.geomphys.2018.06.011
published as Journal of Geometry and Physics 2018 · 19. arXiv admin note: substantial text overlap with arXiv:1501.00229, arXiv:1204.6373 by other authors
arxiv created 2017/12/20 · arxiv updated 2019/08/28
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.