Branching rules for symmetric functions and sln basic hypergeometric series
نویسندگان
چکیده
منابع مشابه
BRANCHING RULES FOR SYMMETRIC MACDONALD POLYNOMIALS AND sln BASIC HYPERGEOMETRIC SERIES
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 sl...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2011
ISSN: 0196-8858
DOI: 10.1016/j.aam.2010.01.012