Double Hall algebras and derived equivalences
Quantum Algebra
2009-12-20 v5 Representation Theory
Abstract
We show that the reduced Drinfeld double of the Ringel-Hall algebra of a hereditary category is invariant under derived equivalences. By associating an explicit isomorphism to a given derived equivalence, we also extend the results of [BS1], [BS2], [SVdB], and [XY].
Cite
@article{arxiv.0809.3470,
title = {Double Hall algebras and derived equivalences},
author = {Tim Cramer},
journal= {arXiv preprint arXiv:0809.3470},
year = {2009}
}