Multiplicative Invariants and Semigroup Algebras

被引：0

作者：

Martin Lorenz

机构：

[1] Temple University,Department of Mathematics

来源：

Algebras and Representation Theory | 2001年 / 4卷

关键词：

semigroup algebra; group action; invariant theory; reflection group; root system; class groups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group acting by automorphism on a lattice A, and hence on the group algebra S=k[A]. The algebra of G-invariants in S is called an algebra of multiplicative invariants. We present an explicit version of a result of Farkas stating that multiplicative invariants of finite reflection groups are semigroup algebras.

引用

页码：293 / 304

页数：11

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