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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Classical and Quantum Nonultralocal Systems on the Lattice
verfasst von : Michael Semenov-Tian-Shansky, Alexey Sevostyanov
Erschienen in: Algebraic Aspects of Integrable Systems
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix. A nonultralocal quantum algebras on the lattices for these systems are constructed. For some class of such algebras an ultralocalization procedure is proposed. The technique of the modified Bethe-Anzatz for these algebras is developed and is applied to the nonlinear sigma model problem.