Perverse equivalences, BB-tilting, mutations and applications
Representation Theory
2010-01-27 v1 Rings and Algebras
Abstract
We relate the notions of BB-tilting and perverse derived equivalence at a vertex. Based on these notions, we define mutations of algebras, leading to derived equivalent ones. We present applications to endomorphism algebras of cluster-tilting objects in 2-Calabi-Yau categories and to algebras of global dimension at most 2.
Cite
@article{arxiv.1001.4765,
title = {Perverse equivalences, BB-tilting, mutations and applications},
author = {Sefi Ladkani},
journal= {arXiv preprint arXiv:1001.4765},
year = {2010}
}
Comments
26 pages