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Braid action on derived category of Nakayama algebras

By Intan Muchtadi-Alamsyah

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.Comment: 27 page

Topics: Mathematics - Representation Theory, Mathematics - Rings and Algebras, 16D90,16G20,18E30,20F36
Year: 2008
DOI identifier: 10.1080/00927870802070165
OAI identifier: oai:arXiv.org:math/0506193
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