Derived classification of gentle algebras with two cycles
Representation Theory
2008-08-15 v2
Abstract
We classify gentle algebras defined by quivers with two cycles under derived equivalence in a non degenerate case, by using some combinatorial invariants constructed from the quiver with relations defining these algebras. We also present a list of normal forms; any such algebra is derived equivalent to one of the algebras in the list.
Cite
@article{arxiv.0708.3839,
title = {Derived classification of gentle algebras with two cycles},
author = {Diana Avella-Alaminos},
journal= {arXiv preprint arXiv:0708.3839},
year = {2008}
}
Comments
41 pages Appendix added (after a manuscript by T. Holm, J. Schr\"oer, A. Zimmermann) To be published in "Boletin De La Sociedad Matematica Mexicana"