Elliptic quantum groups and Ruijsenaars models

Details Elliptic quantum groups and Ruijsenaars models Elliptic quantum groups and Ruijsenaars models

1997-04-03

arxiv.org/abs/q-alg/9704005v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex

Scientific paper

10.1007/BF02764216

We construct symmetric and exterior powers of the vector representation of
the elliptic quantum groups $E_{\tau,\eta}(gl_N)$. The corresponding transfer
matrices give rise to various integrable difference equations which could be
solved in principle by the nested Bethe ansatz method. In special cases we
recover the Ruijsenaars systems of commuting difference operators.

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