Wreath products of finite groups by quantum groups

被引：4

作者：

Freslon, Amaury ^{[1
]}

Skalski, Adam ^{[2
]}

机构：

[1] Univ Paris Saclay, Lab Math dOrsay, Univ Paris Sud, CNRS, F-91405 Orsay, France

[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2018年 / 12卷 / 01期

关键词：

Quantum groups; wreath products; representation theory; COMPACT MATRIX PSEUDOGROUPS; AUTOMORPHISM GROUP; FUSION RULES; ALGEBRAS; DUALITY;

D O I：

10.4171/JNCG/270

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the other hand by the free wreath product of J. Bichon. We identify the resulting quantum group in several cases, establish some of its properties and show that when the finite group in question is abelian, the partition wreath product is itself a partition quantum group. This allows us to compute its representation theory, using earlier results of the first named author.

引用

页码：29 / 68

页数：40

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