Tilting modules arising from two-term tilting complexes
Representation Theory
2011-07-01 v2
Abstract
We show that every two-term tilting complex over an Artin algebra has a tilting module over a certain factor algebra as a homology group. Also, we determine the endomorphism algebra of such a homology group, which is given as a certain factor algebra of the endomorphism algebra of the two-term tilting complex. Thus, every derived equivalence between Artin algebras given by a two-term tilting complex induces a derived equivalence between the corresponding factor algebras.
Cite
@article{arxiv.1104.0627,
title = {Tilting modules arising from two-term tilting complexes},
author = {Hiroki Abe},
journal= {arXiv preprint arXiv:1104.0627},
year = {2011}
}
Comments
11 pages, revised version (ver. 2)