The graded centers of derived discrete algebras
Representation Theory
2009-06-09 v1
Abstract
We describe in the paper the graded centers of the derived categories of the derived discrete algebras. In particular, we prove that if is a derived discrete algebra, then the reduced part of the graded center of the derived category of is nontrivial if and only if 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.
Keywords
Cite
@article{arxiv.0906.1567,
title = {The graded centers of derived discrete algebras},
author = {Grzegorz Bobinski},
journal= {arXiv preprint arXiv:0906.1567},
year = {2009}
}