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Journal Articles Journal of Algebraic Combinatorics Year : 2010

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.

Dates and versions

hal-00693447 , version 1 (02-05-2012)

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Michel Lassalle, Michael J. Schlosser. Recurrence formulas for Macdonald polynomials of type A. Journal of Algebraic Combinatorics, 2010, 32 (1), pp.113--131. ⟨10.1007/s10801-009-0207-y⟩. ⟨hal-00693447⟩
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