A major-index preserving map on fillings

zbMath1372.05007arXiv1703.03088MaRDI QIDQ2409835

Per Alexandersson, Mehtaab Sawhney

Publication date: 16 October 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03088

zbMATH Keywords

Macdonald polynomialsmajor indexchargeDemazure charactersHall-Littlewood polynomialskey polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric functions and generalizations (05E05)

Related Items (4)

Demazure crystals and the Schur positivity of Catalan functions ⋮ Cyclic sieving, skew Macdonald polynomials and Schur positivity ⋮ Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\) ⋮ Nonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes polynomials

Cites Work

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• Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm
• A combinatorial formula for Macdonald polynomials
• An explicit construction of type A Demazure atoms
• Key polynomials and a flagged Littlewood-Richardson rule
• Weyl modules for \(\mathfrak{osp}(1, 2)\) and nonsymmetric Macdonald polynomials
• Refinements of the Littlewood-Richardson rule
• A combinatorial formula for nonsymmetric Macdonald polynomials
• A combinatorial formula for Macdonald polynomials

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