一类弱Hopf代数的Killing型和伴随表示  

Killing Form and Adjoint Representationsof a Class of Weak Hopf Algebras

作　　者：苏冬 SU Dong(School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471023,Henan Province,China)

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《吉林大学学报（理学版）》2022年第3期583-590,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701019);河南省自然科学基金(批准号:222300420156).

摘　　要：通过将Hopf代数上的Killing型和伴随表示理论推广到弱Hopf代数上,给出弱Hopf代数上Killing型和伴随表示的概念及性质,并讨论弱Hopf代数H_(8)的伴随表示及其Killing型,从而实现了Killing型和伴随表示理论在弱Hopf代数上的应用.By extending the theory of Killing form and adjoint representation over Hopf algebras to the weak Hopf algebras,the author gave the concepts and properties of Killing form and adjoint representation over weak Hopf algebras,and discussed the adjoint representations and Killing form of a weak Hopf algebras H_(8),so as to realize the application of the theory of Killing form and adjoint representation over the weak Hopf algebra.

关 键 词：弱HOPF代数 KILLING型 伴随表示 Killing根 

分 类 号：O153.3[理学—数学]