BRANCHING RULES FOR SYMMETRIC MACDONALD POLYNOMIALS AND sln BASIC HYPERGEOMETRIC SERIES
نویسنده
چکیده
Abstract. A one-parameter generalisation Rλ(X; b) of the symmetric Macdonald polynomials and interpolations Macdonald polynomials is studied from the point of view of branching rules. We establish a Pieri formula, evaluation symmetry, principal specialisation formula and q-difference equation for Rλ(X; b). We also prove a new multiple q-Gauss summation formula and several further results for sln basic hypergeometric series based on Rλ(X; b).
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