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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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