Elliptic Quantum Groups and Ruijsenaars Models

Details Elliptic Quantum Groups and Ruijsenaars Models Elliptic Quantum Groups and Ruijsenaars Models

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997jsp....89..963f&link_type=abstract

Journal of Statistical Physics, Volume 89, Issue 5-6, pp. 963-980

Physics

18

Quantum Integrable Models, Quantum Groups, Dynamical Yang, Baxter Equation

Scientific paper

We construct symmetric and exterior powers of the vector representation of the elliptic quantum groups E Τ,η(slN). 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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