L. Lapointe, A. Lascoux, J. Morse
Published 1998-08-11Version 1
We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_{\lambda}[X(t-1)/(q-1)], can be reduced to addition in \lambda-rings. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_{\lambda}[X], and the monomial basis, m_{\lambda}[X].
Comments: 21 pages, TeX, to be published in IMRN
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