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The BC(n) Sutherland Hamiltonian with coupling constants parametrized by three arbitrary integers is derived by reductions of the Laplace operator of the group U(N).
B. Sutherland, Exact results for a quantum many-body problem in one dimension II
1972
Earlier work this paper cites.
F. Calogero, Exactly solvable one-dimensional many-body problems,
1975
Earlier work this paper cites.
M.A. Olshanetsky and A.M. Perelomov, Completely integrable Hamiltonian systems connected with semisimple Lie algebras,
1976
Earlier work this paper cites.
M.A. Olshanetsky and A.M. Perelomov, Quantum systems related to root systems, and radial parts of Laplace operators
1978
Earlier work this paper cites.
D. Kazhdan, B. Kostant and S. Sternberg, Hamiltonian group actions and dynamical systems of Calogero type , Commun. Pure Appl. Math. XXXI
1978
Earlier work this paper cites.
M.A. Olshanetsky and A.M. Perelomov, Quantum integrable systems related to Lie algebras
1983
Earlier work this paper cites.
B. Hoogenboom, Intertwining functions on compact Lie groups, CWI tract, Vol. 5, Amsterdam, 1984
1984
Earlier work this paper cites.
1984
Earlier work this paper cites.
G.J. Heckmam and E.M. Opdam, Root systems and hypergeometric functions I
1987
Earlier work this paper cites.
R. Palais and C.-L. Terng, A general theory of canonical forms , Trans. Amer. Math. Soc. 300
1987
Earlier work this paper cites.
E.M. Opdam, Root systems and hypergeometric functions IV
1988
Cited alongside, same era.
A.D. Berenstein and A.V. Zelevinsky, When is the multiplicity of a weight equal to 1? , Funct. Anal. Appl. 24
1990
Cited alongside, same era.
G. Heckman, Hypergeometric and spherical functions
1994
Cited alongside, same era.
P.I. Etingof, I.B. Frenkel and A.A. Kirillov, Jr., Spherical functions on affine Lie groups , Duke Math. J. 80
1995
Cited alongside, same era.
R. Howe, Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond: The Schur lectures (1992) , Israel Math. Conf. Proc. 8
1995
Cited alongside, same era.
E. Heintze, R. Palais, C.-L. Terng and G. Thorbergsson, Hyperpolar actions on symmetric spaces , pp. 214-245 in: Geometry, Topology, and Physics for Raoul Bott, S.-T. Yau (ed.), International Press, 1995
T. Matsuki, Classification of two involutions on compact semisimple Lie groups and root systems , J. Lie Theory 12
2002
Later among the works it cites.
B. Sutherland, Beautiful Models, World Scientific, 2004
2004
Later among the works it cites.
A. Oblomkov, Heckman-Opdam’s Jacobi polynomials for the B C n BC_{n} root system and generalized spherical functions
2004
Later among the works it cites.
I. Cherednik, Double Affine Hecke Algebras, London Mathematical Society Lecture Notes Series 319, Cambridge University Press, 2005
2005
Later among the works it cites.
R. Sasaki, Quantum Calogero-Moser Systems
2006
Later among the works it cites.
A.P. Polychronakos, Physics and mathematics of Calogero particles
2006
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1995
Cited alongside, same era.
V.V. Gorbatsevich, A.L. Onishchik and E.B. Vinberg, Foundations of Lie Theory and Lie Transformation Groups, Springer, 1997
1997
Cited alongside, same era.
T. Matsuki, Double coset decomposition of reductive Lie groups arising from two involutions , J. Algebra 197
1997
Cited alongside, same era.
1998
Cited alongside, same era.
Later among the works it cites.
P. Etingof, Calogero-Moser Systems and Representation Theory, European Mathematical Society, 2007
2007
Later among the works it cites.
A. Kollross, Polar actions on symmetric spaces , J. Differential Geom. 77
2007
Later among the works it cites.
L. Fehér and B.G. Pusztai, A class of Calogero type reductions of free motion on a simple Lie group , Lett. Math. Phys. 79
2007
Later among the works it cites.