Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials

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dc.creatorSergeev, A. N.
dc.creatorVeselov, A. P.
dc.date2003-07-17
dc.date2003-12-23
dc.date.accessioned2026-07-07T04:30:22Z
dc.date.available2026-07-07T04:30:22Z
dc.descriptionIt is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties (called generalised discriminants) 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. A general structure of the ideals which are invariant under the action of the quantum CMS integrals is discussed in this context. The shifted super-Jack polynomials are introduced and combinatorial formulas for them and for super-Jack polynomials are given.
dc.description30 pages, 1 figure, revised and extended version
dc.identifierhttps://arxiv.org/abs/math-ph/0307036
dc.identifierhttp://arxiv.org/abs/math-ph/0307036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57445
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject81R12
dc.titleGeneralised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
dc.typetext

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