Michel Lassalle and Michael J. Schlosser

Recurrence formulas for Macdonald polynomials of type A

(14 pages)

Abstract. 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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