Twisted support varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define and study twisted support varieties for modules over an Artin algebra, where the twist is induced by an automorphism of the algebra. Under a certain finite generation hypothesis, we show that the twisted variety of a module satisfies Dade's Lemma and is one dimensional precisely when the module is periodic with respect to the twisting automorphism. As a special case we obtain results on DTr-periodic modules over Frobenius algebras.
22 pages, to appear in J. Pure Appl. Algebra

Keywords

Rings and Algebras, 16E05, 16E30, 16E40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/136913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3917
 http://arxiv.org/abs/0708.3917

Collections

arXiv