Kac polynomials for canonical algebras
Representation Theory
2016-02-04 v1 Rings and Algebras
Abstract
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 (and for any almost concealed canonical algebra). 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.
Cite
@article{arxiv.1602.01207,
title = {Kac polynomials for canonical algebras},
author = {P. -G. Plamondon and O. Schiffmann},
journal= {arXiv preprint arXiv:1602.01207},
year = {2016}
}
Comments
12 pages, Latex