Homomesy in products of two chains
From MaRDI portal
Publication:2517651
zbMath1319.05151arXiv1310.5201MaRDI QIDQ2517651
Publication date: 27 August 2015
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.5201
permutationsposetorbitYoung tableauxantichainsorder idealspromotionYoung's latticerowmotionhomomesyproduct of chainssandpiletoggle groupBallot theoremsLyness 5-cyclePanyushev complementationSuter's symmetry
Combinatorial aspects of representation theory (05E10) Algebraic aspects of posets (06A11) Group actions on combinatorial structures (05E18)
Related Items (40)
A birational lifting of the Stanley-Thomas word on products of two chains ⋮ $P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors ⋮ The birational Lalanne-Kreweras involution ⋮ Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass ⋮ A formula for birational rowmotion on rectangles ⋮ The CDE property for minuscule lattices ⋮ Some instances of homomesy among ideals of posets ⋮ Orbits of plane partitions of exceptional Lie type ⋮ Orbits of antichains in certain root posets ⋮ Rowmotion orbits of trapezoid posets ⋮ Iterative properties of birational rowmotion. II: Rectangles and triangles. ⋮ \(P\)-strict promotion and \(Q\)-partition rowmotion: the graded case ⋮ Proof of the Cameron and Fon-Der-Flaass periodicity conjecture ⋮ Partial alternating sign matrix bijections and dynamics ⋮ Rowmotion on 321-avoiding permutations ⋮ Homomesy via toggleability statistics ⋮ Homomesies on permutations: An analysis of maps and statistics in the FindStat database ⋮ Birational and noncommutative lifts of antichain toggling and rowmotion ⋮ Birational rowmotion on a rectangle over a noncommutative ring ⋮ THE EXPECTED JAGGEDNESS OF ORDER IDEALS ⋮ Birational rowmotion and Coxeter-motion on minuscule posets ⋮ Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture ⋮ Rowmotion and increasing labeling promotion ⋮ Paths to understanding birational rowmotion on products of two chains ⋮ Proofs and generalizations of a homomesy conjecture of Propp and Roby ⋮ Resonance in orbits of plane partitions and increasing tableaux ⋮ Braid moves in commutation classes of the symmetric group ⋮ Toggling independent sets of a path graph ⋮ Combinatorial, piecewise-linear, and birational homomesy for products of two chains ⋮ Noncrossing partitions, toggles, and homomesies ⋮ Rowmotion on fences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The CDE property for skew vexillary permutations ⋮ The CDE property for skew vexillary permutations ⋮ Birational antichain toggling and rowmotion ⋮ Homomesy in products of three chains and multidimensional recombination ⋮ Symmetry of Narayana Numbers and Rowvacuation of Root Posets ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion ⋮ Iterative properties of birational rowmotion. I: Generalities and skeletal posets.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Promotion and rowmotion
- Proofs and generalizations of a homomesy conjecture of Propp and Roby
- Cyclic sieving, promotion, and representation theory
- On orbits of antichains of positive roots
- Promotion and evacuation
- Orbits of antichains in ranked posets
- Young's lattice and dihedral symmetries
- The cyclic sieving phenomenon
- Orbits of antichains revisited
- A problem of arrangements
- Cluster algebras I: Foundations
- WHAT IS...Cyclic Sieving?
- A uniform bijection between nonnesting and noncrossing partitions
- Four Proofs of the Ballot Theorem
- Chip-Firing and Rotor-Routing on Directed Graphs
- Generalized noncrossing partitions and combinatorics of Coxeter groups
This page was built for publication: Homomesy in products of two chains