Twisted support varieties
Rings and Algebras
2007-08-30 v1
Abstract
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.
Cite
@article{arxiv.0708.3917,
title = {Twisted support varieties},
author = {Petter Andreas Bergh},
journal= {arXiv preprint arXiv:0708.3917},
year = {2007}
}
Comments
22 pages, to appear in J. Pure Appl. Algebra