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Mathematics > Rings and Algebras

arXiv:0708.3917 (math)
[Submitted on 29 Aug 2007]

Title:Twisted support varieties

Authors:Petter Andreas Bergh
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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.
Comments: 22 pages, to appear in J. Pure Appl. Algebra
Subjects: Rings and Algebras (math.RA)
MSC classes: 16E05, 16E30, 16E40
Cite as: arXiv:0708.3917 [math.RA]
  (or arXiv:0708.3917v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.0708.3917

Submission history

From: Petter Andreas Bergh [view email]
[v1] Wed, 29 Aug 2007 09:22:15 UTC (24 KB)
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