On finite-dimensional Hopf algebras

被引：0

作者：

Andruskiewitsch, Nicolas ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CIEM, CONICET, FaMAF, Medina Allende S-N 5000,Ciudad Univ, Cordoba, Argentina

来源：

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年

关键词：

Hopf algebras; quantum groups; Nichols algebras; QUANTUM GROUPS; NICHOLS ALGEBRAS; SYMMETRIC GROUP; ROOT SYSTEMS; SEMISIMPLE; CLASSIFICATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a survey on the state-of-the-art of the classification of finite-dimensional complex Hopf algebras. This general question is addressed through the consideration of different classes of such Hopf algebras. Pointed Hopf algebras constitute the class best understood; the classification of those with abelian group is expected to be completed soon and there is substantial progress in the non-abelian case.

引用

页码：117 / 141

页数：25

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