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math.CO1998
Tableaux statistics for two part Macdonald polynomials
L. Lapointe, J. Morse
The Macdonald polynomials expanded in terms of a modified Schur function basis have coefficients called the -Kostka polynomials. We define operators to build standard tableaux…
math.CO1998
Determinantal expressions for Macdonald polynomials
L. Lapointe, A. Lascoux, J. Morse
We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_λ[X(t-1)/(q-1)], can be reduced to addition in λ-rings. Th…