Kac Polynomials for Canonical Algebras

被引：1

作者：

Plamondon, Pierre-Guy ^{[1
]}

Schiffmann, Olivier ^{[1
]}

机构：

[1] Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, France

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 13期

关键词：

REPRESENTATION-THEORY; PROJECTIVE CURVES; QUIVERS;

D O I：

10.1093/imrn/rnx244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the number of geometrically indecomposable representations of fixed dimension vector d of a canonical algebra C defined over a finite field Fq is given by a polynomial in q (depending on C and d). We prove a similar result for squid algebras. Finally, we express the volume of the moduli stacks of representations of these algebras of a fixed dimension vector in terms of the corresponding Kac polynomials.

引用

页码：3981 / 4003

页数：23