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Determinantal expressions for Macdonald polynomials

L. Lapointe·A. Lascoux·J. Morse
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Abstract

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. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_λ[X], and the monomial basis, m_λ[X].

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BibTeXRIS

L. Lapointe, A. Lascoux, J. Morse. 1998-08-11. Determinantal expressions for Macdonald polynomials. https://arxiv.org/abs/math/9808050

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