Counting using Hall Algebras II. Extensions from Quivers
Representation Theory
2015-04-14 v3 Rings and Algebras
Abstract
We count the -rational points of GIT quotients of quiver representations with relations. We focus on two types of algebras -- one is one-point extended from a quiver , and the other is the Dynkin tensored with . For both, we obtain explicit formulas. We study when they are polynomial-count. We follow the similar line as in the first paper but algebraic manipulations in Hall algebra will be replaced by corresponding geometric constructions.
Cite
@article{arxiv.1302.1835,
title = {Counting using Hall Algebras II. Extensions from Quivers},
author = {Jiarui Fei},
journal= {arXiv preprint arXiv:1302.1835},
year = {2015}
}
Comments
18 pages. V2. A missing diagram added. V3. Final version to appear Algebr. Represent. Theory (2015)