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arXiv · 0906.1567

The graded centers of derived discrete algebras

Grzegorz Bobinski
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Abstract

We describe in the paper the graded centers of the derived categories of the derived discrete algebras. In particular, we prove that if $A$ is a derived discrete algebra, then the reduced part of the graded center of the derived category of $A$ is nontrivial if and only if $A$ has infinite global dimension. Moreover, we show that the nilpotent part of the graded center is controlled by the objects for which the Auslander--Reiten translation coincides with a power of the suspension functor.

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Grzegorz Bobinski. 2009-06-08. The graded centers of derived discrete algebras. https://arxiv.org/abs/0906.1567

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