Braid action on derived category of Nakayama algebras

Intan Muchtadi-Alamsyah

Abstract:

We construct an action of a braid group associated to a complete graph on the derived Picard group 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.