Counting using Hall algebras I. Quivers

[摘要] 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. (c) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Quiver representation;Hall algebra;Hopf algebra;Character;Moduli space;Quiver Grassmannian;Quiver flag;Quantum cluster algebra;Positivity;Geometric invariant;Generating series