Linearity of Artin groups of finite type

被引：45

作者：

Cohen, AM

Wales, DB

机构：

[1] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands

[2] CALTECH, Dept Math, Sloan Lab, Pasadena, CA 91125 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2002年 / 131卷 / 1期

关键词：

D O I：

10.1007/BF02785852

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear representation to Artin groups of finite type.

引用

页码：101 / 123

页数：23

共 7 条

[1] Braid groups are linear
Bigelow, SJ
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (02) : 471 - 486
[2] Bourbaki N., 1968, GROUPES ALGEBRES LIE
[3] ARTIN GROUPS OF FINITE-TYPE ARE BIAUTOMATIC
CHARNEY, R
[J]. MATHEMATISCHE ANNALEN, 1992, 292 (04) : 671 - 683
[4] Crisp J, 1999, GEOMETRIC GROUP THEORY DOWN UNDER, P119
[5] GENERALIZED BRAID GROUPS
DELIGNE, P
[J]. INVENTIONES MATHEMATICAE, 1972, 17 (04) : 273 - &
[6] Braid groups are linear
Krammer, D
[J]. ANNALS OF MATHEMATICS, 2002, 155 (01) : 131 - 156
[7] HOMOLOGICAL REPRESENTATIONS OF THE HECKE ALGEBRA
LAWRENCE, RJ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 135 (01) : 141 - 191

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