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arXiv · 1204.5117

Clustering properties of rectangular Macdonald polynomials

Charles F. Dunkl·Jean-Gabriel Luque
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Abstract

The clustering properties of Jack polynomials are relevant in the theoretical study of the fractional Hall states. In this context, some factorization properties have been conjectured for the $(q,t)$-deformed problem involving Macdonald polynomials. The present paper is devoted to the proof of this formula. To this aim we use four families of Jack/Macdonald polynomials: symmetric homogeneous, nonsymmetric homogeneous, shifted symmetric and shifted nonsymmetric.

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Charles F. Dunkl, Jean-Gabriel Luque. 2013-02-24. Clustering properties of rectangular Macdonald polynomials. https://arxiv.org/abs/1204.5117

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