Counting Using Hall Algebras I. Quivers

Details Counting Using Hall Algebras I. Quivers Counting Using Hall Algebras I. Quivers

2011-11-28

arxiv.org/abs/1111.6452v1

Mathematics

Quantum Algebra

17 pages, submitted

Scientific paper

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.

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