Inverse problem for sl(2) lattices

Details Inverse problem for sl(2) lattices Inverse problem for sl(2) lattices

2002-07-12

arxiv.org/abs/nlin/0207025v1

In: Symmetry and Perturbation Theory, World Scientific (2002), 136-152

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, LaTeX, talk at SPT 2002, 19-26/5, Cala Gonone, Sardinia; corrected voffset-option

Scientific paper

We consider the inverse problem for periodic sl(2) lattices as a canonical
transformation from the separation to local variables. A new concept of a
factorized separation chain is introduced allowing to solve the inverse problem
explicitly. The method is applied to an arbitrary representation of the
corresponding Sklyanin algebra.

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