Quasi-invariants and quantum integrals of the deformed Calogero--Moser systems

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dc.creatorFeigin, M.
dc.creatorVeselov, A. P.
dc.date2003-03-10
dc.date.accessioned2026-07-07T04:29:53Z
dc.date.available2026-07-07T04:29:53Z
dc.descriptionThe rings of quantum integrals of the generalized Calogero-Moser systems related to the deformed root systems ${\cal A}_n(m)$ and ${\cal C}_n(m,l)$ with integer multiplicities and corresponding algebras of quasi-invariants are investigated. In particular, it is shown that these algebras are finitely generated and free as the modules over certain polynomial subalgebras (Cohen-Macaulay property). The proof follows the scheme proposed by Etingof and Ginzburg in the Coxeter case. For two-dimensional systems the corresponding Poincare series and the deformed $m$-harmonic polynomials are explicitly computed.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0303026
dc.identifierhttp://arxiv.org/abs/math-ph/0303026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57321
dc.subjectMathematical Physics
dc.subject81R12
dc.titleQuasi-invariants and quantum integrals of the deformed Calogero--Moser systems
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