Plane overpartitions and cylindric partitions

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:118

Article

Corteel, Sylvie¹  Savelief, Cyrille²  Vuletic, Mirjana³ 

[1] Univ Paris Diderot, CNRS, LIAFA, F-75205 Paris 13, France

[2] Univ Paris 11, CNRS, LRI, F-91405 Orsay, France

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

关键词: Plane overpartitions;    Cylindric partitions;    Nonintersecting paths;    RSK algorithm;    Symmetric functions;   

DOI  :  10.1016/j.jcta.2010.12.001

来源: Elsevier

【 摘 要 】

Generating functions for plane overpartitions are obtained using various methods such as nonintersecting paths, RSK type algorithms and symmetric functions. We extend some of the generating functions to cylindric partitions. Also, we show that plane overpartitions correspond to certain domino tilings and we give some basic properties of this correspondence. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free