REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR'S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T = infinity

摘要

We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at t = of the nonsymmetric Macdonald polynomials E-w(q,t), wW, where is a dominant integral weight and W is a finite Weyl group.