Reducibility of finite reflection groups

被引：2

作者：

Yu JianMing ^{[1
]}

Jiang GuangFeng ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Beijing Univ Chem Technol, Dept Math & Informat Sci, Fac Sci, Beijing 100029, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

reflection groups; hyperplane arrangement; reducibility;

D O I：

10.1007/s11425-011-4341-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite (pseudo-)reflection group G naturally gives rise to a hyperplane arrangement, i.e., its reflection arrangement. We show that G is reducible if and only if its reflection arrangement is reducible.

引用

页码：947 / 948

页数：2

共 50 条

[31] Group codes generated by finite reflection groups
Mittelholzer, T
Lahtonen, J
IEEE TRANSACTIONS ON INFORMATION THEORY, 1996, 42 (02) : 519 - 528
[32] On the Poincare series and cardinalities of finite reflection groups
Stembridge, JR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (11) : 3177 - 3181
[33] PROPER HOLOMORPHIC MAPS AND FINITE REFLECTION GROUPS
RUDIN, W
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (05) : 701 - 720
[34] Wavelets invariant under finite reflection groups
Bernardes, G.
Bernstein, S.
Cerejeiras, P.
Kaehler, U.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (04) : 473 - 484
[35] Invariant fields of finite irreducible reflection groups
Gregor Kemper
Gunter Malle
Mathematische Annalen, 1999, 315 : 569 - 586
[36] Finite reflection groups and linear preserver problems
Li, CK
Spitkovsky, I
Zobin, N
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (01) : 225 - 251
[37] Exit problems associated with finite reflection groups
Doumerc, Y
O'Connell, N
PROBABILITY THEORY AND RELATED FIELDS, 2005, 132 (04) : 501 - 538
[38] 2 ELEMENT GENERATION OF THE FINITE REFLECTION GROUPS
CONDER, M
QUARTERLY JOURNAL OF MATHEMATICS, 1995, 46 (181): : 95 - 106
[39] Normalizers of Sylow subgroups in finite reflection groups
Townsend, Kane Douglas
COMMUNICATIONS IN ALGEBRA, 2025, 53 (05) : 1841 - 1855
[40] Involutions and reflection subgroups of finite Coxeter groups
Moszkowski, Paul
EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (08) : 1902 - 1912

← 1 2 3 4 5 →