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arXiv · 1611.04005

On derived Hall numbers for tame quivers

Shiquan Ruan·Haicheng Zhang
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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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Shiquan Ruan, Haicheng Zhang. 2016-11-12. On derived Hall numbers for tame quivers. https://arxiv.org/abs/1611.04005

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