Symmetry of Narayana Numbers and Rowvacuation of Root Posets

DOI10.1017/fms.2021.47zbMath1471.05119arXiv2101.02329OpenAlexW3184201674MaRDI QIDQ5011682

Colin Defant, Sam Hopkins

Publication date: 27 August 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02329

zbMATH Keywords

Coxeter numberNarayana numberCoxeter-Catalan combinatorics

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group actions on combinatorial structures (05E18) Root systems (17B22)

Related Items (3)

The birational Lalanne-Kreweras involution ⋮ The pop-stack-sorting operator on Tamari lattices ⋮ Rowmotion on 321-avoiding permutations

Cites Work

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• Promotion and rowmotion
• Cyclic sieving of noncrossing partitions for complex reflection groups.
• Antichain toggling and rowmotion
• On orbits of antichains of positive roots
• Conjectures on the quotient ring by diagonal invariants
• Non-crossing partitions for classical reflection groups
• \(K(\pi,1)\)'s for Artin groups of finite type.
• Ad-nilpotent ideals of a Borel subalgebra. II.
• The cyclic sieving phenomenon
• ad-nilpotent ideals of a Borel subalgebra: generators and duality
• Orbits of antichains revisited
• Dihedral sieving phenomena
• Cyclic sieving for plane partitions and symmetry
• New interpretations for noncrossing partitions of classical types
• Homomesy in products of two chains
• A uniform bijection between nonnesting and noncrossing partitions
• Dynamical algebraic combinatorics and the homomesy phenomenon
• The dual braid monoid
• Generalized noncrossing partitions and combinatorics of Coxeter groups
• Noncrossing Partitions for the GroupDn
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance
• Non-crossing partition lattices in finite real reflection groups

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