Nichols代数及其Hecke型子代数  

Nichols algebras and Hecke-type Nichols sub-algebras

作　　者：王燕[1] 

机构地区：[1]浙江大学数学系,浙江杭州310027

出　　处：《浙江大学学报（理学版）》2005年第6期605-610,共6页Journal of Zhejiang University（Science Edition）

摘　　要：对Nichols代数B(V,c)=T(V)/I(V),给出了它的Hecke型Nichols子代数的定义.在HHYD范畴中,H为群代数时,给出(V,c)是Hecke型的充要条件.设A=T(V)/IV是一个代数,讨论了IV成为余理想的条件.计算了二维对角型向量空间的二次Hopf代数,并且找出了一些Nichols代数.Let B（V,c） be a Nichols algebra, its Hecke-type Nichols sub-algebras are defined. In the category H^H, where H is a group algebra, a necessary and sufficient condition is given for a braided vector space （V,c） to be a Hecke-type one. Let A= T（V）/Iv be an algebra, the conditions are discussed when Iv is a coideal. The classification of quadratic Hopf algebras over a diagonal type braided vector space of 2-dimension and some Nichols algebras are provided.

关 键 词：YETTER-DRINFELD范畴 Nichols代数 Hecke型 

分 类 号：O153[理学—数学]