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Finite-difference representations of the degenerate affine Hecke algebra

D. Uglov
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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-selfadjoint lattice analogues of the spin Calogero-Sutherland hamiltonians are analysed by Bethe-Ansatz. The $ sl(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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D. Uglov. 1994-09-26. Finite-difference representations of the degenerate affine Hecke algebra. https://doi.org/10.1016/0375-9601(95)00143-q

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