Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
نویسنده
چکیده
It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties of the usual CMS operators for infinite number of particles. The ideals of these varieties are shown to be generated by the Jack symmetric functions related to the Young diagrams with special geometry. Combinatorial formulas for the related super-Jack and shifted super-Jack polynomials are given,
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