Resonance in orbits of plane partitions and increasing tableaux

DOI10.1016/j.jcta.2016.12.007zbMath1355.05266arXiv1512.00365OpenAlexW2183037934MaRDI QIDQ507831

Kevin Dilks, Jessica Striker, Oliver Pechenik

Publication date: 9 February 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00365

zbMATH Keywords

resonancedescentplane partitionalternating sign matrixpromotionrowmotion\(K\)-Bender-Knuth involutions\(K\)-theoretic \textit{jeu de taquin}increasing tableau

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07)

Related Items (27)

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 ⋮ Toric promotion ⋮ Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass ⋮ Increasing labelings, generalized promotion and rowmotion ⋮ On cyclic descents for tableaux ⋮ Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials ⋮ Genomic tableaux ⋮ Promotion of increasing tableaux: frames and homomesies ⋮ Orbits of plane partitions of exceptional Lie type ⋮ Rowmotion orbits of trapezoid posets ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ \(P\)-strict promotion and \(Q\)-partition rowmotion: the graded case ⋮ Cyclic descents for near-hook and two-row shapes ⋮ Proof of the Cameron and Fon-Der-Flaass periodicity conjecture ⋮ \(P\)-strict promotion and piecewise-linear rowmotion, with applications to flagged tableaux ⋮ Curious cyclic sieving on increasing tableaux ⋮ Partial alternating sign matrix bijections and dynamics ⋮ Birational and noncommutative lifts of antichain toggling and rowmotion ⋮ Rowmotion on fences ⋮ Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture ⋮ Rowmotion and increasing labeling promotion ⋮ Antichain toggling and rowmotion ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ Unnamed Item ⋮ The genomic Schur function is fundamental-positive ⋮ Homomesy in products of three chains and multidimensional recombination

Uses Software

• ROBBINS

Cites Work

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