Graded quantum groups and quasitriangular Hopf group-coalgebras

被引：22

作者：

Virelizier, A ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 09期

关键词：

drinfeld double; graded quantum groups; Hopf algebra automorphisms; quasitriangular Hopf group-coalgebras;

D O I：

10.1081/AGB-200066110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting from a Hopf algebra endowed with an action of a group pi by Hopf automorphisms, we construct (by a "twisted" double method) a quasitriangular Hopf pi-coalgebra. This method allows us to obtain non-trivial examples of quasitriangular Hopf pi-coalgebras for any finite group pi and for infinite groups pi such as GL(n)(k). In particular, we define the graded quantum groups, which are Hopf pi-coalgebras for pi = C[[h]](l) and generalize the Drinfeld-Jimbo quantum enveloping algebras.

引用

页码：3029 / 3050

页数：22

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