On the derived Picard group of the Brauer star algebra

2014/01/27 by Zvonareva, Alexandra · 1 citation
#18E30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1401.6952

Abstract

In this paper we show that the derived Picard group TrPic(A) of the Brauer star algebra of type (n,t) is generated by shift, Pic(A) and equivalences \H_i\_i=1ⁿ in the case t>1, where H_i were shown to satisfy the relations of the braid group on the affine diagram \widetildeA_n-1 by Schaps and Zakay-Illouz. In the multiplicity free case we show that TrPic(A) is generated by a slightly bigger set.

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