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• W2952274463 abstract "We consider ideals of polynomials vanishing on the W-orbits of the intersections of mirrors of a finite reflection group W. We determine all such ideals which are invariant under the action of the corresponding rational Cherednik algebra hence form submodules in the polynomial module. We show that a quantum integrable system can be defined for every such ideal for a real reflection group W. This leads to known and new integrable systems of Calogero-Moser type which we explicitly specify. In the case of classical Coxeter groups we also obtain generalized Calogero-Moser systems with added quadratic potential." @default.
• W2952274463 created "2019-06-27" @default.
• W2952274463 creator A5024738087 @default.
• W2952274463 date "2008-09-22" @default.
• W2952274463 modified "2023-09-27" @default.
• W2952274463 title "Generalized Calogero-Moser systems from rational Cherednik algebras" @default.
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• W2952274463 doi "https://doi.org/10.48550/arxiv.0809.3487" @default.
• W2952274463 hasPublicationYear "2008" @default.
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