On the cardinalities of Kronecker quiver Grassmannians
Representation Theory
2009-09-25 v2
Abstract
We deduce using the Ringel-Hall algebra approach explicit formulas for the cardinalities of some Grassmannians over a finite field associated to the Kronecker quiver. We realize in this way a quantification of the formulas obtained by Caldero and Zelevinsky for the Euler characteristics of these Grassmannians. We also present a recursive algorithm for computing the cardinality of every Kronecker quiver Grassmannian over a finite field.
Keywords
Cite
@article{arxiv.0903.1928,
title = {On the cardinalities of Kronecker quiver Grassmannians},
author = {Csaba Szántó},
journal= {arXiv preprint arXiv:0903.1928},
year = {2009}
}
Comments
Major corrections and completions were made. We also present a recursive algorithm for computing the cardinality of every Kronecker quiver Grassmannian over a finite field