Free Wreath Product by the Quantum Permutation Group

Free Wreath Product by the Quantum Permutation Group
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量子排列组的免费花环产品

DOI:
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发表时间:
2001
期刊:
影响因子:
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通讯作者:
J. Bichon
J. Bichon
中科院分区:
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文献类型:
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作者:
J. Bichon

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设A是紧量子群,n∈N*,Aaut(Xn)是n个字母上的量子置换群.引入了一个自由圈积构造A*wAaut(Xn).这一构造提供了量子群的新例子,并可用于描述有限连通图的n次不交并的量子自同构群。
Let A be a compact quantum group, let n∈N* and let Aaut(Xn) be the quantum permutation group on n letters. A free wreath product construction A*wAaut(Xn) 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.