Braid action on derived category of Nakayama algebras

Details Braid action on derived category of Nakayama algebras Braid action on derived category of Nakayama algebras

2005-06-10

arxiv.org/abs/math/0506193v2

Communications in Algebra (2008) 36:7, 2544-2569

Mathematics

Representation Theory

27 pages

Scientific paper

10.1080/00927870802070165

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.

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