Binomial formula for Macdonald polynomials

Abstract

We prove a binomial formula for Macdonald polynomials and consider applications of it.

AMS TeX, 20 pages. Replaced with journal version. To appear in Math. Res. Letters

References in corpus (4)

• Symmetric and non-symmetric quantum Capelli polynomials
• Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
• On inner product in modular tensor categories. I
• A characterization of interpolation Macdonald polynomials

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• KNTZ trick from arborescent calculus and the structure of differential expansion
• Symmetric and non-symmetric Macdonald polynomials
• New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
• The binomial formula for nonsymmetric Macdonald polynomials