Michael J. Schlosser

Explicit computation of the q,t-Littlewood-Richardson coefficients

(9 pages)

Abstract. In joint work with Michel Lassalle [C. R. Math. Acad. Sci. Paris 337 (9) (2003), 569-574], we recently presented an explicit expansion formula for Macdonald polynomials. This result was obtained from a recursion for Macdonald polynomials which in turn was derived by inverting the Pieri formula. We use these formulae here to explicitly compute the q,t-Littlewood-Richardson coefficients, thus solving a problem posed by Ian G. Macdonald.

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