Counting using Hall algebras I. Quivers

JOURNAL OF ALGEBRA

卷:372

Article

Fei, Jiarui

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

DOI  :  10.1016/j.jalgebra.2012.08.018

来源: Elsevier

【 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.

【 授权许可】

Free