Cyclic sieving, skew Macdonald polynomials and Schur positivity
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Publication:2200864
DOI10.5802/alco.123zbMath1448.05212arXiv1908.00083OpenAlexW3080252691MaRDI QIDQ2200864
Joakim Uhlin, Per Alexandersson
Publication date: 23 September 2020
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00083
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07)
Related Items (9)
Colored fermionic vertex models and symmetric functions ⋮ Fishburn trees ⋮ A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials ⋮ Orbit harmonics and cyclic sieving: a survey ⋮ A horizontal-strip LLT polynomial is determined by its weighted graph ⋮ Macdonald polynomials and cyclic sieving ⋮ Skew characters and cyclic sieving ⋮ The cyclic sieving phenomenon on circular Dyck paths ⋮ Transport of patterns by Burge transpose
Uses Software
Cites Work
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- Haglund's conjecture on 3-column Macdonald polynomials
- Jeu-de-taquin promotion and a cyclic sieving phenomenon for semistandard hook tableaux
- Cyclic sieving and cluster duality of Grassmannian
- Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
- Hall-Littlewood polynomials and fixed point enumeration
- Cyclic sieving, promotion, and representation theory
- Congruence properties of \(q\)-analogs
- Various representations of the generalized Kostka polynomials
- Green polynomials and Hall-Littlewood functions at roots of unity
- A recursion and a combinatorial formula for Jack polynomials
- Refined cyclic sieving on words for the major index statistic
- LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
- The cyclic sieving phenomenon
- Harmonic analysis for certain representations of graded Hecke algebras
- Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
- Graded characters of modules supported in the closure of a nilpotent conjugacy class
- Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\)
- Crystals, semistandard tableaux and cyclic sieving phenomenon
- Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
- Colorful combinatorics and Macdonald polynomials
- The cyclic sieving phenomenon on circular Dyck paths
- A major-index preserving map on fillings
- Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials
- Crystal Bases
- The cyclic sieving phenomenon: a survey
- Constructions for Cyclic Sieving Phenomena
- A combinatorial formula for nonsymmetric Macdonald polynomials
- Subgroup lattices and symmetric functions
- A local characterization of simply-laced crystals
- The on-line encyclopedia of integer sequences
- Cyclic sieving and plethysm coefficients
- A combinatorial formula for Macdonald polynomials
- Nonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes polynomials
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
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