Extensions of Finite Quantum Groups by Finite Groups

被引：4

作者：

Andruskiewitsch, N. ^{[1
]}

Garcia, G. A. ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CONICET, FaMAF CIEM, RA-5000 Cordoba, Argentina

来源：

TRANSFORMATION GROUPS | 2009年 / 14卷 / 01期

关键词：

SIMPLE LIE-GROUPS; HOPF-ALGEBRAS; ROOTS;

D O I：

10.1007/s00031-008-9039-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in [AG] as quantum subgroups of quantum groups at roots of 1. Finally, we apply the first general result to show the existence of infinitely many non-isomorphic Hopf algebras of the same dimension, presented as extensions of finite quantum groups by finite groups.

引用

页码：1 / 27

页数：27

共 39 条

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