Finite-difference representations of the degenerate affine Hecke algebra
High Energy Physics - Theory
2009-10-28 v1
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 -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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Cite
@article{arxiv.hep-th/9409155,
title = {Finite-difference representations of the degenerate affine Hecke algebra},
author = {D. Uglov},
journal= {arXiv preprint arXiv:hep-th/9409155},
year = {2009}
}
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