Multiplicative Invariants and Semigroup Algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 investigate when algebras of multiplicative invariants are semigroup algebras. In particular, we present an explicit version of a result of Farkas stating that multiplicative invariants of finite reflection groups are indeed semigroup algebras. On the other hand, multiplicative invariants arising from fixed point free actions are shown to never be semigroup algebras. In particular, this holds whenever G has odd prime order.
AMS-LateX, 16 pages, 1 figure

Keywords

Commutative Algebra, 13A50; 16W20; 16S34; 20H15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78006

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901119
 http://arxiv.org/abs/math/9901119

Collections

arXiv