The construction and deformation of BiHom-Novikov agebras
Rings and Algebras
2019-08-28 v1
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.
Keywords
Cite
@article{arxiv.1712.08000,
title = {The construction and deformation of BiHom-Novikov agebras},
author = {Shuangjian Guo and Xiaohui Zhang and Shengxiang Wang},
journal= {arXiv preprint arXiv:1712.08000},
year = {2019}
}
Comments
19. arXiv admin note: substantial text overlap with arXiv:1501.00229, arXiv:1204.6373 by other authors