Chevalley’s theorem for the complex crystallographic groups

被引：0

作者：

Joseph Bernstein

Ossip Schwarzman

机构：

[1] School of Mathematical Sciences Tel Aviv University,College of Mathematics

[2] Independent University of Moscow,undefined

来源：

Journal of Nonlinear Mathematical Physics | 2006年 / 13卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that, for the irreducible complex crystallographic Coxeter group W, the following conditions are equivalent: W is generated by reflections;the analytic variety X/W is isomorphic to a weighted projective space.

引用

页码：323 / 351

页数：28

共 50 条

[11] Chevalley-Weil theorem and subgroups of class groups
Bilu, Yuri
Gillibert, Jean
ISRAEL JOURNAL OF MATHEMATICS, 2018, 226 (02) : 927 - 956
[12] Chevalley’s theorem with restricted variables
David Brink
Combinatorica, 2011, 31 : 127 - 130
[13] A higher-dimensional Chevalley restriction theorem for orthogonal groups
Song, Lei
Xia, Xiaopeng
Xu, Jinxing
ADVANCES IN MATHEMATICS, 2023, 426
[14] A note on observable subgroups of linear algebraic groups and a theorem of Chevalley
Nahlus, N
JOURNAL OF LIE THEORY, 2002, 12 (01) : 301 - 304
[15] AN IDENTIFICATION THEOREM FOR THE LOCALLY FINITE NONTWISTED CHEVALLEY-GROUPS
THOMAS, S
ARCHIV DER MATHEMATIK, 1983, 40 (01) : 21 - 31
[16] A formal Chevalley restriction theorem for Kac-Moody groups
Mokler, C
COMPOSITIO MATHEMATICA, 2003, 135 (02) : 123 - 152
[17] The Chevalley-Warning theorem and a combinatorial question on finite groups
Sury, B
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (04) : 951 - 953
[18] An improvement to Chevalley's theorem with restricted variables
Castro, Francis N.
Gonzalez, Oscar E.
Medina, Luis A.
FINITE FIELDS AND THEIR APPLICATIONS, 2019, 58 : 216 - 221
[19] On Jordan's theorem for complex linear groups
Collins, Michael J.
JOURNAL OF GROUP THEORY, 2007, 10 (04) : 411 - 423
[20] A Chevalley type restriction theorem for a proper complex equifocal submanifold
Koike, Naoyuki
KODAI MATHEMATICAL JOURNAL, 2007, 30 (02) : 280 - 296

← 1 2 3 4 5 →