English

On derived Hall numbers for tame quivers

Representation Theory 2016-11-15 v1

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.

Cite

@article{arxiv.1611.04005,
  title  = {On derived Hall numbers for tame quivers},
  author = {Shiquan Ruan and Haicheng Zhang},
  journal= {arXiv preprint arXiv:1611.04005},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T16:50:18.982Z