Binomial formula for Macdonald polynomials

1996/08/23 by Andrei Okounkov, Andreĭ Okounkov, Okounkov, Andrei
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9608021

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

openalex publication_date 1996/08/23 · arxiv created 1997/09/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• A remark on Fourier pairing and binomial formula for Macdonald polynomials
• The binomial formula for nonsymmetric Macdonald polynomials
• On Combinatorial Formulas for Macdonald Polynomials
• A combinatorial formula for non-symmetric Macdonald polynomials
• Factorization formulas for Macdonald polynomials