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Enumeration of diagonally colored Young diagrams

Gyenge, Ádám (2016) Enumeration of diagonally colored Young diagrams. MONATSHEFTE FUR MATHEMATIK, &. pp. 1-15. ISSN 0026-9255

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Abstract

In this note we give a new proof of a closed formula for the multivariable generating series of diagonally colored Young diagrams. This series also describes the Euler characteristics of certain Nakajima quiver varieties. Our proof is a direct combinatorial argument, based on Andrews’ work on generalized Frobenius partitions. We also obtain representations of these series in some particular cases as infinite products. © 2016 Springer-Verlag Wien

Item Type: Article
Additional Information: First Online: 25 July 2016
Uncontrolled Keywords: Young diagram; Quiver variety; Generating series; Generalized Frobenius partition
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 03 Jan 2017 11:43
Last Modified: 03 Jan 2017 11:43
URI: http://real.mtak.hu/id/eprint/44137

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