Recurrence formulas for Macdonald polynomials of type A

Details Recurrence formulas for Macdonald polynomials of type A Recurrence formulas for Macdonald polynomials of type A

2009-02-12

arxiv.org/abs/0902.2099v2

Journal of Algebraic Combinatorics, 32 (2010), 113-131

Mathematics

Combinatorics

18 pages, LaTeX, revised version, to appear in Journal of Algebraic Combinatorics

Scientific paper

10.1007/s10801-009-0207-y

We consider products of two Macdonald polynomials of type A, indexed by
dominant weights which are respectively a multiple of the first fundamental
weight and a weight having zero component on the k-th fundamental weight. We
give the explicit decomposition of any Macdonald polynomial of type A in terms
of this basis.

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