Plane overpartitions and cylindric partitions

Sylvie Corteel; Cyrille Savelief; Mirjana Vuletić

doi:10.1016/j.jcta.2010.12.001

Plane overpartitions and cylindric partitions

Sylvie Corteel
, Cyrille Savelief
, Mirjana Vuletić

Mathematics

CNRS
Brown University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1239-1269
Number of pages	31
Journal	Journal of Combinatorial Theory, Series A
Volume	118
Issue number	4
DOIs	https://doi.org/10.1016/j.jcta.2010.12.001
State	Published - May 2011

ASJC Scopus Subject Areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Keywords

Cylindric partitions
Nonintersecting paths
Plane overpartitions
RSK algorithm
Symmetric functions

Access to Document

10.1016/j.jcta.2010.12.001

Cite this

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title = "Plane overpartitions and cylindric partitions",

abstract = "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.",

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T1 - Plane overpartitions and cylindric partitions

AU - Corteel, Sylvie

AU - Savelief, Cyrille

AU - Vuletić, Mirjana

PY - 2011/5

Y1 - 2011/5

N2 - 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.

AB - 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.

KW - Cylindric partitions

KW - Nonintersecting paths

KW - Plane overpartitions

KW - RSK algorithm

KW - Symmetric functions

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U2 - 10.1016/j.jcta.2010.12.001

DO - 10.1016/j.jcta.2010.12.001

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AN - SCOPUS:78651411098

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JO - Journal of Combinatorial Theory, Series A

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ER -

Plane overpartitions and cylindric partitions

Abstract

ASJC Scopus Subject Areas

Keywords

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