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A short proof of the integrality of the Macdonald (q,t)-Kostka coefficients

Luc Lapointe·Luc Vinet
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Abstract

The Macdonald polynomials can be obtained by acting on the constant 1 with creation operators. Three different expressions for these operators are derived, one from the other, in a rather succint way. When the last of these expressions is used, the formalism is seen to imply straightforwardly the integrality of the (q,t)-Kostka coefficients, that is of the expansion coefficients for the Macdonald functions in terms of Schur functions.

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BibTeXRIS

Luc Lapointe, Luc Vinet. 1996-07-18. A short proof of the integrality of the Macdonald (q,t)-Kostka coefficients. https://arxiv.org/abs/q-alg/9607026

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