On BiHom-analogue of generalized Lie algebras

Shuangjian Guo; Xiaohui Zhang; Shengxiang Wang

On BiHom-analogue of generalized Lie algebras

Rings and Algebras 2021-03-09 v2 Mathematical Physics math.MP

Authors: Shuangjian Guo , Xiaohui Zhang , Shengxiang Wang

Abstract

In this paper, we introduce the definition of generalized BiHom-Lie algebras and generalized BiHom-Lie admissible algebras in the category ${}_H{\mathcal M}$ of left modules for any quasitriangular Hopf algebra $(H, R)$ . Also, we describe the BiHom-Lie ideal structures of the BiHom-associative algebras.

Keywords

generalized bihom-lie algebras bihom-lie admissible algebras quasitriangular hopf algebra left modules bihom-associative algebras bihom-lie ideals

Cite

@article{arxiv.2001.10734,
  title  = {On BiHom-analogue of generalized Lie algebras},
  author = {Shuangjian Guo and Xiaohui Zhang and Shengxiang Wang},
  journal= {arXiv preprint arXiv:2001.10734},
  year   = {2021}
}

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