Catalan functions and 𝑘-Schur positivity
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Publication:5239798
DOI10.1090/jams/921zbMath1423.05192arXiv1804.03701OpenAlexW2969917391MaRDI QIDQ5239798
Jennifer Morse, Anna Y. Pun, Jonah Blasiak, Daniel S. Summers
Publication date: 22 October 2019
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.03701
spingeneralized Kostka polynomialsSchur positivitybranching rule\(k\)-Schur functionsstrong tableaux
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)
Related Items (6)
Lazy tournaments and multidegrees of a projective embedding of \(\overline{M}_{0,n}\) ⋮ \(K\)-theoretic Catalan functions ⋮ Horizontal-strip LLT polynomials ⋮ Demazure crystals and the Schur positivity of Catalan functions ⋮ Combinatorics of the immaculate inverse Kostka matrix ⋮ \(k\)-Schur expansions of Catalan functions
Cites Work
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- Noncommutative Schur functions, switchboards, and Schur positivity
- Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles
- Vertex operators and Hall-Littlewood symmetric functions
- Orthogonality of Milne's polynomials and raising operators
- On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
- Cohomology and the resolution of the nilpotent variety
- Line bundles on the cotangent bundle of the flag variety
- Noncommutative Schur functions and their applications
- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
- A bijection between Littlewood-Richardson tableaux and rigged configurations
- A combinatorial formula for the character of the diagonal coinvariants
- Inhomogeneous lattice paths, generalized Kostka polynomials and \(A_{n-1}\) supernomials
- Schur function analogs for a filtration of the symmetric function space
- Tableau atoms and a new Macdonald positivity conjecture
- Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
- Graded characters of modules supported in the closure of a nilpotent conjugacy class
- A \(k\)-tableau characterization of \(k\)-Schur functions
- Affine dual equivalence and \(k\)-Schur functions
- Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- Lectures on geometric constructions of the irreducible representations of GL_n
- Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
- Affine insertion and Pieri rules for the affine Grassmannian
- Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras
- A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
- A proof of the shuffle conjecture
- The poset of $k$-shapes and branching rules for $k$-Schur functions
- Schubert polynomials for the affine Grassmannian
- Quantum cohomology and the 𝑘-Schur basis
- A cyclage poset structure for Littlewood-Richardson tableaux
- Hall-Littlewood vertex operators and generalized Kostka polynomials
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