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We consider ideals of polynomials vanishing on the W-orbits of the intersections of mirrors of a finite reflection group W.
F. Calogero Solution of a three-body problem in one dimension
1969
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F. Calogero Solution of the one-dimensional n n -body problem with quadratic and/or inversely quadratic pair potential
1971
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J. Moser Three integrable hamiltonian systems connected with isospectral deformation
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M.A. Olshanetsky, A.M. Perelomov Quantum completely integrable systems connected with semi-simple Lie algebras
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P. Orlik, L. Solomon Coxeter arrangements
1983
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C.F. Dunkl Differential–difference operators associated to reflection groups
1989
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J.E. Humphreys Reflection groups and Coxeter groups
1990
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G.J. Heckman A remark on the Dunkl differential-difference operators
1991
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A.P. Polychronakos Exchange operator formalism for integrable systems of particles
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C.F. Dunkl, M.F. de Jeu, E.M. Opdam Singular polynomials for finite reflection groups
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W. Rühl, A. Turbiner Exact solvability of the Calogero and Sutherland models
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A.P. Veselov, M.V. Feigin, O.A. Chalykh New integrable deformations of the quantum Calogero-Moser problem
1996
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O.A. Chalykh, M.V. Feigin, A.P. Veselov New integrable generalisations of Calogero–Moser quantum problem
1998
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O.A. Chalykh, M.V. Feigin, A.P. Veselov Multidimensional Baker–Akhiezer Functions and Huygens’ Principle
1999
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O.A.Chalykh, V.M.Goncharenko, A.P.Veselov Multidimensional integrable Schrödinger operators with matrix potential
1999
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O.A. Chalykh Bispectrality for the quantum Ruijsenaars model and its integrable deformation
2000
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A.N. Sergeev Superanalogs of the Calogero operators and Jack polynomials
2001
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P. Etingof, V. Ginzburg Symplectic reflection algebras, Calogero–Moser space, and deformed Harish–Chandra homomorphism
2002
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A.N. Sergeev Calogero operator and Lie superalgebras
2002
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B. Feigin, M. Jimbo, T. Miwa, E. Mukhin A differential ideal of symmetric polynomials spanned by Jack polynomials at β = − ( r − 1 ) / ( k + 1 ) \beta=-(r-1)/(k+1)
2002
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N. Bourbaki Lie groups and Lie algebras. Chapters 4-6
2002
M. Feigin Bispectrality for deformed Calogero-Moser-Sutherland systems
2005
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L.A. Khodarinova Quantum integrability of the deformed elliptic Calogero-Moser problem
2005
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P. Etingof Calogero-Moser systems and representation theory
2007
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M. Feigin, A.P. Veselov Logarithmic Frobenius structures and Coxeter discriminants
2007
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J.Brundan, S.M. Goodwin Good grading polytopes
2007
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R. Rouquier q q -Schur algebras and complex reflection groups
2008
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B. Feigin, M. Jimbo, T. Miwa, E. Mukhin Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials
2003
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V. Ginzburg On primitive ideals
2003
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C.F. Dunkl, E.M. Opdam Dunkl operators for complex reflection groups
2003
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A.N. Sergeev, A.P. Veselov Deformed quantum Calogero-Moser problems and Lie superalgebras
2004
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K. Taniguchi On the symmetry of commuting differential operators with singularities along hyperplanes
2004
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A.N. Sergeev, A.P. Veselov Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
2005
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N. Crampe, C. A. S. Young Sutherland Models for Complex Reflection Groups
2008
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A.N. Sergeev, A.P. Veselov BC-infinity Calogero-Moser operator and super Jacobi polynomials
2009
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2009
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2009
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N. Enomoto Composition Factors of Polynomial Representation of DAHA and q q -decomposition numbers
2009
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P. Etingof, E. Stoica, Unitary representations of rational Cherednik algebras
2009
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M. Hallnäs, E. Langmann A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type
2010
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