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On derived Hall numbers for tame quivers

2016/11/12 by Shiquan Ruan, Ruan, Shiquan, Haicheng Zhang +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.RT #msc:16G20 #msc:17B20 #msc:17B37

paper · pdf · doi:10.48550/arxiv.1611.04005

16 pages

arxiv created 2016/11/12 · arxiv updated 2016/11/15

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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