Twisted support varieties |
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Authors: | Petter Andreas Bergh |
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Affiliation: | Institutt for matematiske fag, NTNU, N-7491 Trondheim, Norway |
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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. |
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Keywords: | 16E05 16E30 16E40 16P90 |
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