Counting Using Hall Algebras I. Quivers
Quantum Algebra
2012-09-25 v2 Algebraic Geometry
Rings and Algebras
Abstract
We survey some results on counting the rational points of moduli spaces of quiver representations. We then make generalizations to Grassmannians and flags of quiver representations. These results have nice applications to the cluster algebra. Along the way, we use the full Hopf structure of the Hall algebra of a quiver.
Cite
@article{arxiv.1111.6452,
title = {Counting Using Hall Algebras I. Quivers},
author = {Jiarui Fei},
journal= {arXiv preprint arXiv:1111.6452},
year = {2012}
}
Comments
18 pages, final version to appear in J. Algebra. A minor mistake in "Quantum Cluster Algebra" section was corrected; reference updated