Quantum automorphism groups of finite graphs

被引：75

作者：

Bichon, J ^{[1
]}

机构：

[1] Univ Montpellier 2, Dept Math Sci, F-34095 Montpellier, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-02-06798-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quantum analogue of the automorphism group of a finite graph is introduced. These are quantum subgroups of the quantum permutation groups defined by Wang. The quantum automorphism group is a stronger invariant for finite graphs than the usual automorphism group. We get a quantum dihedral group D-4.

引用

页码：665 / 673

页数：9

共 11 条

[1] [Anonymous], 1988, ROCK ART RES
[2] Symmetries of a generic coaction
Banica, T
[J]. MATHEMATISCHE ANNALEN, 1999, 314 (04) : 763 - 780
[3] BANICA T, OA9806054
[4] Connes A., 1994, NONCOMMUTATIVE GEOME
[5] CQG ALGEBRAS - A DIRECT ALGEBRAIC APPROACH TO COMPACT QUANTUM GROUPS
DIJKHUIZEN, MS
KOORNWINDER, TH
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1994, 32 (04) : 315 - 330
[6] THE HAAR MEASURE ON A COMPACT QUANTUM GROUP
VANDAELE, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (10) : 3125 - 3128
[7] FREE-PRODUCTS OF COMPACT QUANTUM GROUPS
WANG, SZ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 167 (03) : 671 - 692
[8] Quantum symmetry groups of finite spaces
Wang, SZ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 195 (01) : 195 - 211
[9] COMPACT MATRIX PSEUDOGROUPS
WORONOWICZ, SL
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (04) : 613 - 665
[10] TANNAKA-KREIN DUALITY FOR COMPACT MATRIX PSEUDOGROUPS - TWISTED SU(N) GROUPS
WORONOWICZ, SL
[J]. INVENTIONES MATHEMATICAE, 1988, 93 (01) : 35 - 76

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