δ-Hom-Jordan李色代数的T*-扩张

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (4): 855-859.

δ-Hom-Jordan李色代数的T*-扩张

马丽丽, 戴迪, 李强, 王晓燕

齐齐哈尔大学理学院, 黑龙江齐齐哈尔 161006

收稿日期:2020-11-16 出版日期:2021-07-26 发布日期:2021-07-26
通讯作者: 马丽丽 E-mail:limary@163.com

T*-Extensions of δ-Hom-Jordan Lie Color Algebras

MA Lili, DAI Di, LI Qiang, WANG Xiaoyan

School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China

Received:2020-11-16 Online:2021-07-26 Published:2021-07-26

摘要/Abstract

摘要： 先通过2-上圈和余伴随表示构造δ-Hom-Jordan李色代数的T*-扩张, 得到T*-扩张T^*_ωL的可解性和幂零性, 然后给出平凡T*-扩张T^*₀L具有分解性的充分条件.

关键词: δ-Hom-Jordan李色代数, 2-上圈, T*-扩张

Abstract: We first constructed T*-extensions of δ-Hom-Jordan Lie color algebras by 2-cocycle and co-adjoint representation, obtained the solvability and nilpotency of the T*-extension T^*_ωL, and then we gave sufficient condition of the decomposability of the trivial T*-extension T^*₀L.

Key words: δ-Hom-Jordan Lie color algebra, 2-cocycle, T*-extension

中图分类号:

O152.5

马丽丽, 戴迪, 李强, 王晓燕. δ-Hom-Jordan李色代数的T*-扩张[J]. 吉林大学学报(理学版), 2021, 59(4): 855-859.

MA Lili, DAI Di, LI Qiang, WANG Xiaoyan. T*-Extensions of δ-Hom-Jordan Lie Color Algebras[J]. Journal of Jilin University Science Edition, 2021, 59(4): 855-859.