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The Smallest Singular Values and Vector-Valued Jack Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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There is a space of vector-valued nonsymmetric Jack polynomials associated with any irreducible representation of a symmetric group. Singular polynomials for the smallest singular values are constructed in terms of the Jack polynomials. The smallest singular values bound the region of positivity of the bilinear symmetric form for which the Jack polynomials are mutually orthogonal. As background there are some results about general finite reflection groups and singular values in the context of standard modules of the rational Cherednik algebra.
Keywords: nonsymmetric Jack polynomials; standard modules; Young tableaux. 
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     author = {Charles F. Dunkl},
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Charles F. Dunkl. The Smallest Singular Values and Vector-Valued Jack Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a114/

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