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arxiv: 1611.04005 · v1 · pith:FDUA5WF7new · submitted 2016-11-12 · 🧮 math.RT

On derived Hall numbers for tame quivers

classification 🧮 math.RT
keywords derivedhallboundedcategorygivennumberstamealgebra
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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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