Promotion and cyclic sieving via webs

T. Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades

Research output: Contribution to journalArticlepeer-review

33 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 languageEnglish (US)
Pages (from-to)19-41
Number of pages23
JournalJournal of Algebraic Combinatorics
Volume30
Issue number1
DOIs
StatePublished - Aug 2009

Keywords

  • Cyclic sieving
  • Promotion
  • Webs

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