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.
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页码：293 / 304
页数：11
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