Nichols algebras over weak Hopf algebras  

作　　者：WU Zhi-xiang 

机构地区：[1]School of Mathematical Science, Zhejiang University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2018年第1期107-126,共20页高校应用数学学报（英文版）（B辑）

基　　金：Supported by ZJNSF(LY17A010015,LZ14A010001);NNSF(11171296),CSC

摘　　要：In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules V, we construct Nichols algebra B(V) over the weak Hopf algebra H, and a series of weak Hopf algebras. Some results of [8] are generalized.In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules V, we construct Nichols algebra B(V) over the weak Hopf algebra H, and a series of weak Hopf algebras. Some results of [8] are generalized.

关 键 词：quantum enveloping algebra Nichols algebra weak Hopf algebra 

分 类 号：O1[理学—数学]