Canonical Systems of Basic Invariants for Unitary Reflection Groups

Canadian mathematical bulletin

Shuhei Tsujie²  Hiroaki Terao²  Norihiro Nakashima¹ 

[1] School of Information Environment, Tokyo Denki University, Inzai, 270-1382, Japan;Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

关键词: basic invariant;    invariant theory;    finite unitary reflection group;   

DOI  :  10.4153/CMB-2016-031-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It has been known that there exists a canonical system for everyfinite real reflection group. The first and the third authorsobtainedan explicit formula for a canonical system in the previous paper.In this article, we first define canonical systems for the finite unitary reflection groups, and then prove their existence.Our proof does not depend on the classification of unitary reflectiongroups.Furthermore, we give an explicit formula for a canonical systemfor every unitary reflection group.

【 授权许可】

Unknown