EXT ALGEBRA OF NICHOLS ALGEBRAS OF CARTAN TYPE A2

被引：2

作者：

Yu, Xiaolan ^{[1
]}

Zhang, Yinhuo ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 04期

关键词：

Nichols algebra; Ext algebra; POINTED HOPF-ALGEBRAS; QUANTUM GROUPS; COHOMOLOGY; CLASSIFICATION; VARIETIES;

D O I：

10.1142/S0219498812501915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the full structure of the Ext algebra of any Nichols algebra of Cartan type A(2) by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras u(D, lambda, mu) with Dynkin diagrams of type A, D, or E, except for A(1) and A(1) x A(1) with the order N-J > 2 for at least one component J, are wild.

引用

页数：31

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