Free wreath product by the quantum permutation group

被引：63
|
作者：
Bichon, J [1 ]
机构：
[1] Univ Pau & Pays Adour, IPRA, Lab Math Appl, F-64000 Pau, France
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2004年 / 7卷 / 04期
关键词：
quantum permutation group; wreath product; free product; graph automorphism;
D O I：
10.1023/B:ALGE.0000042148.97035.ca
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a compact quantum group, let n is an element of N* and let A(aut)(X-n) be the quantum permutation group on n letters. A free wreath product construction A *w A(aut)(X-n) is introduced. This construction provides new examples of quantum groups, and is useful to describe the quantum automorphism group of the n-times disjoint union of a finite connected graph.
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页码：343 / 362
页数：20
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