A Littlewood-Richardson rule for Macdonald polynomials

DOI10.1007/s00209-012-0986-zzbMath1264.33025arXiv1010.0722OpenAlexW2029855782MaRDI QIDQ1925741

Martha Yip

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0722

zbMATH Keywords

symmetric functionsMacdonald polynomialsdouble affine Hecke algebraalcove walks

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (5)

A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials ⋮ A Littlewood-Richardson rule for Koornwinder polynomials ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ Hall polynomials, inverse Kostka polynomials and puzzles

Cites Work

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• A combinatorial formula for Macdonald polynomials
• Pieri formulas for Macdonald's spherical functions and polynomials
• Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux.
• On combinatorial formulas for MacDonald polynomials
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• LS galleries, the path model, and MV cycles
• Macdonald's evaluation conjectures and difference Fourier transform
• Refinements of the Littlewood-Richardson rule
• Pieri-Type Formulas for Nonsymmetric Macdonald Polynomials
• A combinatorial model for crystals of Kac-Moody algebras
• A new class of symmetric functions

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