The cyclic sieving phenomenon
From MaRDI portal
Publication:1881679
DOI10.1016/j.jcta.2004.04.009zbMath1052.05068OpenAlexW2013327405MaRDI QIDQ1881679
Victor Reiner, Dennis E. White, Dennis W. Stanton
Publication date: 14 October 2004
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2004.04.009
Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)
Related Items (only showing first 100 items - show all)
Cyclic sieving and rational Catalan theory ⋮ Symmetries on the lattice of \(k\)-bounded partitions ⋮ Cyclic sieving, necklaces, and branching rules related to Thrall's problem ⋮ Alexander Duality and Rational Associahedra ⋮ Cyclic sieving for reduced reflection factorizations of the Coxeter element ⋮ The Catalan combinatorics of the hereditary artin algebras ⋮ Noncommutative motives of separable algebras ⋮ Increasing tableaux, Narayana numbers and an instance of the cyclic sieving phenomenon ⋮ The S n+1 Action on Spherical Models and Supermaximal Models of Tipe A n−1 ⋮ Evidence for parking conjectures ⋮ Cyclic sieving and plethysm coefficients ⋮ Refined cyclic sieving on words for the major index statistic ⋮ Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability ⋮ The CDE property for minuscule lattices ⋮ Orbits of plane partitions of exceptional Lie type ⋮ Dihedral sieving phenomena ⋮ Some divisibility properties of binomial and \(q\)-binomial coefficients ⋮ Eulerian quasisymmetric functions ⋮ Orbits of antichains in certain root posets ⋮ Jeu-de-taquin promotion and a cyclic sieving phenomenon for semistandard hook tableaux ⋮ Rowmotion orbits of trapezoid posets ⋮ \((q, t)\)-Catalan numbers: gamma expansions, pattern avoidances, and the \((-1)\)-phenomenon ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun ⋮ A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux ⋮ Proof of the Cameron and Fon-Der-Flaass periodicity conjecture ⋮ Orbit harmonics and cyclic sieving: a survey ⋮ Skew characters and cyclic sieving (extended abstract) ⋮ Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups ⋮ A family of measures on symmetric groups and the field with one element ⋮ Free action and cyclic sieving on skew semi-standard Young tableaux ⋮ Cyclic sieving phenomenon on dominant maximal weights ⋮ Cyclic sieving, skew Macdonald polynomials and Schur positivity ⋮ Birational and noncommutative lifts of antichain toggling and rowmotion ⋮ Fixed points of the evacuation of maximal chains on fuss shapes ⋮ On orbits of order ideals of minuscule posets ⋮ A combinatorial proof of the cyclic sieving phenomenon for faces of coxeterhedra ⋮ Promotion and rowmotion ⋮ Subword complexes, cluster complexes, and generalized multi-associahedra ⋮ Weyl group \(q\)-Kreweras numbers and cyclic sieving ⋮ Cyclic sieving and cluster multicomplexes ⋮ Cyclic sieving for plane partitions and symmetry ⋮ Reflection factorizations of Singer cycles ⋮ Cyclic sieving of increasing tableaux and small Schröder paths ⋮ Parking spaces. ⋮ Cyclic sieving of noncrossing partitions for complex reflection groups. ⋮ Parking structures: Fuss analogs ⋮ Quantum spectrum testing ⋮ Antichain toggling and rowmotion ⋮ The toggle group, homomesy, and the Razumov-Stroganov correspondence ⋮ Paths to understanding birational rowmotion on products of two chains ⋮ Restriction of global bases and Rhoades's theorem ⋮ Refined cyclic sieving ⋮ Resonance in orbits of plane partitions and increasing tableaux ⋮ A skein action of the symmetric group on noncrossing partitions ⋮ Minuscule representations and Panyushev conjectures ⋮ \(q\)-Stirling numbers: a new view ⋮ Cyclic symmetry of the scaled simplex ⋮ Minimal orbits of promotion ⋮ The cone of cyclic sieving phenomena ⋮ Eulerian quasisymmetric functions and cyclic sieving ⋮ The cyclic sieving phenomenon for faces of generalized cluster complexes ⋮ Hall-Littlewood polynomials and fixed point enumeration ⋮ Cyclic sieving, promotion, and representation theory ⋮ Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras ⋮ (\(q,t\))-analogues and \(GL_{n}({\mathbb{F}}_{q})\) ⋮ Cyclic descents for general skew tableaux ⋮ Multiple analogues of binomial coefficients and families of related special numbers ⋮ Unnamed Item ⋮ Crystals, semistandard tableaux and cyclic sieving phenomenon ⋮ Asymptotic normality of the major index on standard tableaux ⋮ Cyclic sieving for cyclic codes ⋮ Invariant tensors and the cyclic sieving phenomenon ⋮ Non-crossing trees, quadrangular dissections, ternary trees, and duality-preserving bijections ⋮ A new cyclic sieving phenomenon for Catalan objects ⋮ Tableau stabilization and rectangular tableaux fixed by promotion powers ⋮ Promotion and cyclic sieving via webs ⋮ Parity-Unimodality and a Cyclic Sieving Phenomenon for Necklaces ⋮ Homomesy in products of two chains ⋮ \(\operatorname{GL}_n(\mathbb{F}_q)\)-analogues of factorization problems in the symmetric group ⋮ Fifty years of the journal of combinatorial theory ⋮ Spectra of Symmetrized Shuffling Operators ⋮ \(q\)-dimensions of highest weight crystals and cyclic sieving phenomenon ⋮ Thrall's problem: cyclic sieving, necklaces, and branching rules ⋮ Birational antichain toggling and rowmotion ⋮ Cyclic sieving, necklaces, and bracelets ⋮ Promotion of Kreweras words ⋮ Macdonald polynomials and cyclic sieving ⋮ Cyclic sieving of finite Grassmannians and flag varieties ⋮ Cyclic sieving and orbit harmonics ⋮ Proof of a conjecture involving Sun polynomials ⋮ Skew characters and cyclic sieving ⋮ Generalized noncrossing partitions and combinatorics of Coxeter groups ⋮ \(q\)-analogues of Euler's odd = distinct theorem ⋮ Tableau posets and the fake degrees of coinvariant algebras ⋮ The cyclic sieving phenomenon on circular Dyck paths ⋮ A uniform bijection between nonnesting and noncrossing partitions ⋮ Cyclic sieving and cluster duality of Grassmannian ⋮ Skew Schur polynomials and cyclic sieving phenomenon ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Schensted algorithm for rim hook tableaux
- q-Catalan numbers
- Conjectures on the quotient ring by diagonal invariants
- On minuscule representations, plane partitions and involutions in complex Lie groups
- Some hidden relations involving the ten symmetry classes of plane partitions
- When are subset sums equidistributed modulo \(m\)?
- Non-crossing partitions for classical reflection groups
- A type-B associahedron.
- On counting permutations by pairs of congruence classes of major index
- Equivariant fiber polytopes
- Combinatorics of necklaces and ``Hermite reciprocity
- Regular elements of finite reflection groups
- Note on a theorem of Eng
- Modular invariant theory of parabolic subgroups of \(GL_ n(\mathbb{F}_ q)\) and the associated Steenrod modules
- Canonical bases and self-evacuating tableaux
- Polygon dissections and standard Young tableaux
- Noncrossing partitions
- Springer's regular elements over arbitrary fields
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
- On the Number of Self-Complementary Graphs and Digraphs
- Finite Unitary Reflection Groups
- Quotients of Poincaré polynomials evaluated at \(-1\)
- Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems
- On the orbits of Singer groups and their subgroups
This page was built for publication: The cyclic sieving phenomenon