文献类型：期刊文献

英文题名：Solutions of the BiHom-Yang-Baxter equation

作者：Fang, X. -L.[1];Liu, W.[2]

机构：[1]Shaoxing Coll Arts & Sci, Dept Math, Shaoxing, Peoples R China;[2]Shaoxing Univ, Yuanpei Coll, Dept Math, Shaoxing, Peoples R China

年份：2018

卷号：209

期号：6

起止页码：901

外文期刊名：SBORNIK MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000441840600008)、、Scopus(收录号：2-s2.0-85052374927)、WOS

基金：X.-L. Fang's research was carried out with the support of the Natural Science Foundation of Zhejiang Province (grant no. LY14A010006) and the National Natural Science Foundation of China (grant no. 11571239).

语种：英文

外文关键词：BiHom-Yang-Baxter equation; BiHom-Lie algebra; BiHom-associative algebra

外文摘要：In this paper we extend the Yang-Baxter equation (YBE) into the setting of BiHom-structures and the BiHom-Yang-Baxter equation (BHYBE) is introduced. Two methods for constructing solutions of the BHYBE are discussed, one from Hopf algebras and the other from BiHom-Lie algebras. Finally, as an application, we show that a solution of the BHYBE can generate a representation of the braid group.