Braid action on derived category of Nakayama algebras
Representation Theory
2008-07-02 v2 Rings and Algebras
Abstract
We construct an action of a braid group associated to a complete graph on the derived category of a certain symmetric Nakayama algebra which is also a Brauer star algebra with no exceptional vertex. We connect this action with the affine braid group action on Brauer star algebras defined by Schaps and Zakay-Illouz. We show that for Brauer star algebras with no exceptional vertex, the action is faithful.
Cite
@article{arxiv.math/0506193,
title = {Braid action on derived category of Nakayama algebras},
author = {Intan Muchtadi-Alamsyah},
journal= {arXiv preprint arXiv:math/0506193},
year = {2008}
}
Comments
27 pages