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

@article{Feigin2003QuasiinvariantsAQ,
  title={Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems},
  author={Misha Feigin and A P Veselov},
  journal={International Mathematics Research Notices},
  year={2003},
  volume={2003},
  pages={2487-2511}
}
  • M. Feigin, A. Veselov
  • Published 10 March 2003
  • Mathematics
  • International Mathematics Research Notices
The rings of quantum integrals of the generalized Calogero-Moser systems related to the deformed root systems An(m) and Cn(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… 

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