Separating invariants and finite reflection groups

被引：26

作者：

Dufresne, Emilie ^{[1
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

来源：

ADVANCES IN MATHEMATICS | 2009年 / 221卷 / 06期

关键词：

Invariant theory; Separating invariants; Finite groups; Reflections; Polynomial ring; Bireflections; Complete intersection ring;

D O I：

10.1016/j.aim.2009.03.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements distinguish between any two orbits that can be distinguished using invariants. In this paper, we introduce a geometric notion of separating algebra. This allows us to prove that only groups generated by reflections may have polynomial separating algebras, and only groups generated by bireflections may have complete intersection separating algebras. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1979 / 1989

页数：11

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