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Recurrence formulas for Macdonald polynomials of type A

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 kth fundamental weight. We give the explicit decomposition of any Macdonald polynomial of type A in terms of this basis.
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Submitted on : Wednesday, May 2, 2012 - 4:49:21 PM
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Michel Lassalle, Michael J. Schlosser. Recurrence formulas for Macdonald polynomials of type A. Journal of Algebraic Combinatorics, Springer Verlag, 2010, 32 (1), pp.113--131. ⟨10.1007/s10801-009-0207-y⟩. ⟨hal-00693447⟩



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