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Braid action on derived category of Nakayama algebras

Intan Muchtadi-Alamsyah
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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.

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BibTeXRIS

Intan Muchtadi-Alamsyah. 2008-07-02. Braid action on derived category of Nakayama algebras. https://doi.org/10.1080/00927870802070165

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