\(P\)-strict promotion and piecewise-linear rowmotion, with applications to flagged tableaux

zbMath1505.05141MaRDI QIDQ2680954

Corey Vorland, Jessica Striker, Joseph Bernstein

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/74.html

zbMATH Keywords

promotionrowmotiontogglesflagged tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Cites Work

• Unnamed Item
• Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
• Promotion and rowmotion
• Resonance in orbits of plane partitions and increasing tableaux
• Iterative properties of birational rowmotion. II: Rectangles and triangles.
• Promotion and evacuation
• Flagged Schur functions, Schubert polynomials, and symmetrizing operators
• Binomial determinants, paths, and hook length formulae
• Rowmotion and increasing labeling promotion
• Combinatorial, piecewise-linear, and birational homomesy for products of two chains
• Cyclic sieving for plane partitions and symmetry
• Subword complexes, cluster complexes, and generalized multi-associahedra
• The cyclic sieving phenomenon for faces of generalized cluster complexes
• Some instances of homomesy among ideals of posets
• A uniform bijection between nonnesting and noncrossing partitions
• Dynamical algebraic combinatorics and the homomesy phenomenon
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance
• Ordered structures and partitions

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