References
- L. Brink, H. Hansson and M.A. Vasiliev, Explicit solution to the N-body Calogero problem, Phys. Lett., B286 (1992), 109–111. doi: 10.1016/0370-2693(92)90166-2
- F. Calogero, Solution of a three-body problem in one dimension, J. Math. Phys., 10 (1969), 2191–2196. doi: 10.1063/1.1664820
- F. Calogero, Ground state of a one dimensional N-body problem, J. Math. Phys., 10 (1969), 2197–2200. doi: 10.1063/1.1664821
- F. Calogero, Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials, J. Math. Phys., 12 (1971), 419. https://doi.org/10.1063/1.1665604.
- C.F. Dunkl, Differential-difference operators associated to reflection groups, Trans. Amer. Math. Soc., 311 (1) (1989), 167–183. doi:10.2307/2001022.
- P. Etingof and V. Ginqzburg, Symplectic reflection algebras, Calogero–Moser space, and deformed Harish–Chandra homomorphism, Inv. Math., 147 (2002), 243–348. doi: 10.1007/s002220100171
- S.E. Konstein, 3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables, Teor. Mat. Fiz., 116 (1998), 122. arXiv:hep-th/9803213. doi: 10.4213/tmf892
- S.E. Konstein and R. Stekolshchik, Klein operator and the Number of Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System, Journal of Nonlinear Mathematical Physics, 20 (2) (2013), 295–308. doi: 10.1080/14029251.2013.820410
- S.E. Konstein and I.V. Tyutin, Traces on the Algebra of Observables of the Rational Calogero Model Based on the Root System, Journal of Nonlinear Mathematical Physics, 20 (2) (2013), 271–294. arXiv:1211.6600 doi: 10.1080/14029251.2013.820403
- S.E. Konstein and I.V. Tyutin, The number of independent traces and supertraces on symplectic reflection algebras, Journal of Nonlinear Mathematical Physics, 21 (3) (2014), 308–335. arXiv:1308.3190 doi: 10.1080/14029251.2014.936755
- S.E. Konstein and I.V. Tyutin, Ideals generated by traces or by supertraces in the symplectic reflection algebra H1,ν (I2(2m + 1)), Journal of Nonlinear Mathematical Physics, 24 (3) (2017), 405–425. DOI:10.1080/14029251.2017.1341702; arXiv:1612.00536
- S.E. Konstein and M.A. Vasiliev, Supertraces on the Algebras of Observables of the Rational Calogero Model with Harmonic Potential, J. Math. Phys., 37 (1996), 2872. doi: 10.1063/1.531544
- M.A. Olshanetsky and A.M. Perelomov, Quantum integrable systems related to lie algebras, Phys. Rep., 94 (6) (1983), 313–404. DOI:10.1016/0370-1573(83)90018-2.
- A. Polychronakos, Exchange operator formalism for integrable systems of particles, Phys. Rev. Lett., 69 (1992), 703–705. doi: 10.1103/PhysRevLett.69.703
- M.A. Vasiliev, Quantization on sphere and high-spin superalgebras, JETP Letters, 50 (1989), 377–379.
- M.A. Vasiliev, Higher spin algebras and quantization on the sphere and hyperboloid, Int. J. Mod. Phys., A6 (07) (1991), 1115–1135. https://doi.org/10.1142/S0217751X91000605.