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A note on Serre duality and equivariantization

Published 24 Sep 2014 in math.RA, math.AG, and math.RT | (1409.6864v1)

Abstract: For an abelian category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant objects. Special cases and examples are discussed. In particular, an abelian category with a periodic Serre duality and its equivariantization are studied.

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