Titlebook: Calogero—Moser— Sutherland Models; Jan Felipe Diejen,Luc Vinet Book 2000 Springer Science+Business Media New York 2000 Potential.chaos.dif

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,Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms,ormalization of Jack polynomials with prescribed symmetry (i.e., eigenfunctions that can be chosen to be symmetric or antisymmetric in certain variables) are given. In addition Macdonald polynomials of prescribed symmetry are considered, and it is shown that factorization can be achieved in certain

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Canonical Forms for the ,-Invariant Tensors,d ... It is proved that the characteristic polynomial of any C-invariant (1, 1) tensor .. is a perfect square; therefore, its eigenvalues have even multiplicities. Any .-invariant metric .. is indefinite and has signature σ ≤ ..