Cyclic sieving for plane partitions and symmetry
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Publication:2217991
DOI10.3842/SIGMA.2020.130zbMath1461.05240arXiv1907.09337MaRDI QIDQ2217991
Publication date: 12 January 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09337
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Group actions on combinatorial structures (05E18)
Related Items (10)
$P$-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 ⋮ \(P\)-strict promotion and piecewise-linear rowmotion, with applications to flagged tableaux ⋮ Restriction of global bases and Rhoades's theorem ⋮ Plane partitions of shifted double staircase shape ⋮ Cyclic sieving and cluster duality of Grassmannian ⋮ Skew Schur polynomials and cyclic sieving phenomenon ⋮ Symmetry of Narayana Numbers and Rowvacuation of Root Posets ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion
Uses Software
Cites Work
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- Iterative properties of birational rowmotion. I: Generalities and skeletal posets.
- Promotion and rowmotion
- Proofs and generalizations of a homomesy conjecture of Propp and Roby
- Combinatorics of symmetric plabic graphs
- Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai
- Cyclic sieving and cluster duality of Grassmannian
- A proof of the Bender-Knuth conjecture
- Kazhdan-Lusztig immanants and products of matrix minors
- Dual canonical bases and Kazhdan-Lusztig polynomials
- On the combinatorics of crystal graphs. I: Lusztig's involution
- Iterative properties of birational rowmotion. II: Rectangles and triangles.
- Cyclic sieving, promotion, and representation theory
- On orbits of antichains of positive roots
- Promotion and evacuation
- Symmetries of plane partitions
- On the equality of two plane partition correspondences
- Dual equivalence with applications, including a conjecture of Proctor
- Orbits of antichains in ranked posets
- Global crystal bases of quantum groups
- Plane partitions. II: The equivalence of the Bender-Knuth and MacMahon conjectures
- Green polynomials and Hall-Littlewood functions at roots of unity
- On minuscule representations, plane partitions and involutions in complex Lie groups
- Some hidden relations involving the ten symmetry classes of plane partitions
- Self-complementary plane partitions by Proctor's minuscule method
- Some automorphisms of generalized Kac-Moody algebras
- Promotion des morphismes d'ensembles ordonnes
- Total positivity for the Lagrangian Grassmannian
- \(R\)-systems
- Paths to understanding birational rowmotion on products of two chains
- The cyclic sieving phenomenon
- Orbits of antichains revisited
- Representations of quivers of type \(A\) and the multisegment duality
- Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics
- Canonical bases and self-evacuating tableaux
- From Dynkin diagram symmetries to fixed point structures
- On orbits of order ideals of minuscule posets
- Combinatorial, piecewise-linear, and birational homomesy for products of two chains
- Dihedral sieving phenomena
- The Berenstein-Kirillov group and cactus groups
- The purity conjecture in type \(C\)
- Restriction of global bases and Rhoades's theorem
- Bruhat lattices, plane partition generating functions, and minuscule representations
- New symmetric plane partition identities from invariant theory work of De Concini and Procesi
- Braid group symmetries of Grassmannian cluster algebras
- Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians
- Minuscule reverse plane partitions via quiver representations
- Affine type \(A\) geometric crystal on the Grassmannian
- The cyclic sieving phenomenon on circular Dyck paths
- Cyclic Demazure modules and positroid varieties
- Cyclic sieving, rotation, and geometric representation theory
- On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations
- Enumeration of plane partitions
- WHAT IS...Cyclic Sieving?
- A uniform bijection between nonnesting and noncrossing partitions
- Dynamical algebraic combinatorics and the homomesy phenomenon
- Plane partitions in the work of Richard Stanley and his school
- Shifted Plane Partitions of Trapezoidal Shape
- The cyclic sieving phenomenon: a survey
- Canonical bases for cluster algebras
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- Canonical Bases Arising from Quantized Enveloping Algebras
- Bimahonian distributions
- Cluster ensembles, quantization and the dilogarithm
- Canonical Bases for Irreducible Representations of Quantum Gl N
- La correspondance de Robinson
- A symplectic jeu de taquin bijection between the tableaux of King and of De Concini
- Piecewise-linear and birational toggling
- Canonical Bases for Irreducible Representations of Quantum GL n , II
- Kazhdan–Lusztig immanants and products of matrix minors, II
- Moment curves and cyclic symmetry for positive Grassmannians
- Quelques remarques sur une Construction de Schensted.
- Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion
- Introduction to quantum groups
- Dihedral sieving on cluster complexes
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