Abstract
The representations of the degenerate affine Hecke algebra in which the analogues of the Dunkl operators are given by finite-difference operators are introduced. The non-self-adjoint lattice analogues of the spin Calogero-Sutherland Hamiltonians are analysed by a Bethe ansatz. The gl( m) Yangian representations arising from the finite-difference representations of the degenerate affine Hecke algebra are shown to be related to the Yangian representation of the 1-d Hubbard model.
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