Séminaire Lotharingien de Combinatoire, B52h (2005), 24 pp.

Michel Lassalle

Some Conjectures for Macdonald Polynomials of Type B, C, D

Abstract. We present conjectures giving formulas for the Macdonald polynomials of type B, C, D which are indexed by a multiple of the first fundamental weight. The transition matrices between two different types are explicitly given.

Received: November 4, 2004. Accepted: May 27, 2005. Final Version: June 6, 2005.

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