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arXiv:math/0506193 [math.RT]AbstractReferencesReviewsResources

Braid action on derived category of Nakayama algebras

Intan Muchtadi-Alamsyah

Published 2005-06-10, updated 2008-07-02Version 2

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.

Comments: 27 pages
Journal: Communications in Algebra (2008) 36:7, 2544-2569
Categories: math.RT, math.RA
Subjects: 16D90, 16G20, 18E30, 20F36
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