caa a22 4500 445836768 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00209-010-0762-x doi (NATIONALLICENCE)springer-10.1007/s00209-010-0762-x Szántó Csaba Faculty of Mathematics and Computer Science, "Babes-Bolyai” University Cluj-Napoca, Str. Mihail Kogalniceanu nr. 1, 400084, Cluj-Napoca, Romania aut On the cardinalities of Kronecker quiver Grassmannians [Elektronische Daten] [Csaba Szántó] 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. Finally we present a recursive algorithm for computing the cardinality of every Kronecker quiver Grassmannian over a finite field. Springer-Verlag, 2010 Kronecker algebra nationallicence Ringel-Hall algebra nationallicence Grassmannian nationallicence Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 833-846 0025-5874 269:3-4<833 2011 269 209 https://doi.org/10.1007/s00209-010-0762-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0762-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Szántó Csaba Faculty of Mathematics and Computer Science, "Babes-Bolyai” University Cluj-Napoca, Str. Mihail Kogalniceanu nr. 1, 400084, Cluj-Napoca, Romania aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 833-846 0025-5874 269:3-4<833 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer