Promotion and cyclic sieving via webs

T. Kyle Petersen; Pavlo Pylyavskyy; Brendon Rhoades

doi:10.1007/s10801-008-0150-3

Promotion and cyclic sieving via webs

T. Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades

School of Mathematics

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

61 Scopus citations

Abstract

We show that Schützenberger's promotion on two and three row rectangular Young tableaux can be realized as cyclic rotation of certain planar graphs introduced by Kuperberg. Moreover, following work of the third author, we show that this action admits the cyclic sieving phenomenon.

Original language	English (US)
Pages (from-to)	19-41
Number of pages	23
Journal	Journal of Algebraic Combinatorics
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s10801-008-0150-3
State	Published - Aug 2009

Keywords

Cyclic sieving
Promotion
Webs

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10.1007/s10801-008-0150-3

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title = "Promotion and cyclic sieving via webs",

abstract = "We show that Sch{\"u}tzenberger's promotion on two and three row rectangular Young tableaux can be realized as cyclic rotation of certain planar graphs introduced by Kuperberg. Moreover, following work of the third author, we show that this action admits the cyclic sieving phenomenon.",

keywords = "Cyclic sieving, Promotion, Webs",

author = "Petersen, {T. Kyle} and Pavlo Pylyavskyy and Brendon Rhoades",

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doi = "10.1007/s10801-008-0150-3",

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AU - Pylyavskyy, Pavlo

AU - Rhoades, Brendon

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N2 - We show that Schützenberger's promotion on two and three row rectangular Young tableaux can be realized as cyclic rotation of certain planar graphs introduced by Kuperberg. Moreover, following work of the third author, we show that this action admits the cyclic sieving phenomenon.

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KW - Promotion

KW - Webs

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JO - Journal of Algebraic Combinatorics

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Promotion and cyclic sieving via webs

Abstract

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