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] Reducibility for Schrödinger Operator with Finite Smooth and Time-Quasi-periodic Potential [J].

Jing Li .

Chinese Annals of Mathematics, Series B, 2020, 41 :419-440

[32] Rational Catalan numbers for complex reflection groups ☆ [J].

Miller, Weston .

JOURNAL OF ALGEBRA, 2025, 672 :10-30

[33] Invariant theory for coincidental complex reflection groups [J].

Reiner, Victor ;

Shepler, Anne V. ;

Sommers, Eric .

MATHEMATISCHE ZEITSCHRIFT, 2021, 298 (1-2) :787-820

[34] Littlewood-Richardson coefficients for reflection groups [J].

Berenstein, Arkady ;

Richmond, Edward .

ADVANCES IN MATHEMATICS, 2015, 284 :54-111

[35] Invariant theory for coincidental complex reflection groups [J].

Victor Reiner ;

Anne V. Shepler ;

Eric Sommers .

Mathematische Zeitschrift, 2021, 298 :787-820

[36] Hurwitz Numbers for the Reflection Groups Bn and Dn [J].

Fesler, R. .

MATHEMATICAL NOTES, 2023, 114 (5-6) :1067-1071

[37] An Algorithm for Reducibility of 3-arrangements [J].

GAO RUI-MEI AND PEI DONG-HE (School of Mathematics and Statistics .

Communications in Mathematical Research, 2011, 27 (01) :62-68

[38] Reducibility and discrete series in the case of classical p-adic groups; an approach based on examples [J].

Tadic, Marko .

GEOMETRY AND ANALYSIS OF AUTOMORPHIC FORMS OF SEVERAL VARIABLES, 2012, 7 :254-333

[39] On the Reducibility Points beyond the Ends of Complementary Series of p-adic General Linear Groups [J].

Tadic, Marko .

JOURNAL OF LIE THEORY, 2015, 25 (01) :147-183

[40] Note on reducibility of parabolic induction for Hermitian quaternionic groups over p-adic fields [J].

Grbac, Neven ;

Pecek, Nevena Jurcevic .

MATHEMATICAL COMMUNICATIONS, 2018, 23 (02) :181-196

← 1 2 3 4 5 →