On derived Hall numbers for tame quivers

Published 12 Nov 2016 in math.RT | (1611.04005v1)

Abstract: In the present paper we study the derived Hall algebra for the bounded derived category of the nilpotent representations of a tame quiver over a finite field. We show that for any three given objects in the bounded derived category, the associated derived Hall numbers are given by a rational function in the cardinalities of ground fields.

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