2009/03/11 by Csaba Szántó, Szántó, Csaba
Mathematics · #16G20 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16G20
paper · pdf · doi:10.48550/arxiv.0903.1928
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
arxiv created 2009/09/24 · arxiv updated 2009/12/01
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.