Increasing tableaux, Narayana numbers and an instance of the cyclic sieving phenomenon

DOI10.1007/s00026-016-0320-2zbMath1347.05252OpenAlexW2416971272MaRDI QIDQ331502

Anna Stokke, Timothy Pressey, Terry I. Visentin

Publication date: 27 October 2016

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-016-0320-2

zbMATH Keywords

jeu de taquinNarayana numbersincreasing tableauxcyclic sieving phenomenonSchröder paths

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15) Group actions on combinatorial structures (05E18)

Related Items

Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials, Genomic tableaux, Refined cyclic sieving on words for the major index statistic, Promotion of increasing tableaux: frames and homomesies, Orbits of plane partitions of exceptional Lie type, A web basis of invariant polynomials from noncrossing partitions, Curious cyclic sieving on increasing tableaux, Unnamed Item, Enumeration on row-increasing tableaux of shape \(2 \times n\), Resonance in orbits of plane partitions and increasing tableaux, A skein action of the symmetric group on noncrossing partitions, Unnamed Item, The genomic Schur function is fundamental-positive

Cites Work

• Unnamed Item
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• Generalizing Narayana and Schröder numbers to higher dimensions
• Cyclic sieving of increasing tableaux and small Schröder paths
• Three dimensional Narayana and Schröder numbers
• The cyclic sieving phenomenon: a survey
• The Hook Graphs of the Symmetric Group