数学杂志2022，Vol.42Issue(1)：49-62,14.
分裂的正则双Hom-李Color代数
ON SPLIT REGULAR BIHOM-LIE COLOR ALGEBRAS
摘要
Abstract
The aim of this article is to study the structure of split regular BiHom-Lie color algebras.By developing techniques of connections of roots for this kind of algebras,we show that such a split regular BiHom-Lie color algebra L is of the form L =U+ ∑[α]∈∧/～ I[α]with U a subspace of the abelian (graded) subalgebra H and any I[α],a well described (graded) ideal of L,satisfying[I[α],I[β]]=0 if[α]≠[β].Under certain conditions,in the case of L being of maximal length,the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its simple (graded) ideals.关键词
双Hom-李color代数/分裂/根空间/根系Key words
BiHom-Lie color algebra/split/root space/root system分类
数理科学引用本文复制引用
曹燕,陶雅玲..分裂的正则双Hom-李Color代数[J].数学杂志,2022,42(1):49-62,14.基金项目
Supported by NNSF of China (11801121),NSF of Heilongjiang province(QC2018006) and the Fundamental Research Fundation for Universities of Heilongjiang Province(LGYC2018JC002). （11801121）
