Dynamical algebraic combinatorics and the homomesy phenomenon
From MaRDI portal
Publication:2957197
DOI10.1007/978-3-319-24298-9_25zbMath1354.05146OpenAlexW2463036700MaRDI QIDQ2957197
Publication date: 25 January 2017
Published in: Recent Trends in Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-24298-9_25
permutationsposetorbitsYoung tableauxroot systemsantichainsnoncrossing partitionsorder idealstropicalizationcluster algebraspromotion\(Y\)-systemsYoung latticerowmotionhomomesyproduct of chainsZamolodchikov periodicitytoggle groupsminuscule heapspanyushev complementationSuter symmetry
Related Items (34)
$P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors ⋮ The birational Lalanne-Kreweras involution ⋮ A formula for birational rowmotion on rectangles ⋮ Polyurethane toggles ⋮ \(P\)-strict promotion and \(Q\)-partition rowmotion: the graded case ⋮ \(P\)-strict promotion and piecewise-linear rowmotion, with applications to flagged tableaux ⋮ Curious cyclic sieving on increasing tableaux ⋮ Rowmotion on rooted trees ⋮ Partial rank symmetry of distributive lattices for fences ⋮ Partial alternating sign matrix bijections and dynamics ⋮ Classifications of $\Gamma$-colored minuscule posets and $P$-minuscule Kac--Moody representations ⋮ 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 ⋮ Rowmotion on fences ⋮ THE EXPECTED JAGGEDNESS OF ORDER IDEALS ⋮ Cyclic sieving for plane partitions and symmetry ⋮ Birational rowmotion and Coxeter-motion on minuscule posets ⋮ Antichain toggling and rowmotion ⋮ Paths to understanding birational rowmotion on products of two chains ⋮ Braid moves in commutation classes of the symmetric group ⋮ Minuscule reverse plane partitions via quiver representations ⋮ Toggling independent sets of a path graph ⋮ Flexible toggles and symmetric invertible asynchronous elementary cellular automata ⋮ Rowmotion on fences ⋮ The CDE property for skew vexillary permutations ⋮ Birational antichain toggling and rowmotion ⋮ A five-element transformation monoid on labelled trees ⋮ Cyclic sieving and cluster duality of Grassmannian ⋮ 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 ⋮ Generalized bitstring rotation and its applications to toggle dynamical systems
Uses Software
This page was built for publication: Dynamical algebraic combinatorics and the homomesy phenomenon
