A new derivation of the inner product formula for the Macdonald symmetric polynomials

Abstract

We give a short proof of the inner product conjecture for the symmetric Macdonald polynomials of type $A_{n-1}$. As a special case, the corresponding constant term conjecture is also proved.

6 pages, AMS-LaTeX, no figures

References in corpus (1)

• Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials

Cited by in corpus (1)

• Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series