On the structure of quantum permutation groups

被引：0
作者：
Banica, Teodor
Moroianu, Sergiu
机构：
[1] Univ Toulouse 3, Lab Emile Picard, F-31062 Toulouse, France
[2] Acad Romane, Inst Matemat, RO-014700 Bucharest, Romania
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 01期
关键词：
Hopf algebra; magic biunitary matrix; inner faithful representation; AUTOMORPHISM-GROUPS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The quantum permutation group of the set X-n = {1,..., n} corresponds to the Hopf algebra A(aut)(X-n). This is an algebra constructed with generators and relations, known to be isomorphic to C(S-n) for n <= 3, and to be infinite dimensional for n >= 4. In this paper we find an explicit representation of the algebra A(aut)(X-n), related to Clifford algebras. For n = 4 the representation is faithful in the discrete quantum group sense.
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页码：21 / 29
页数：9
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