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arxiv: hep-th/9402101 · v1 · submitted 1994-02-17 · ✦ hep-th · math.QA

Classical integrable lattice models through quantum group related formalism

classification ✦ hep-th math.QA
keywords modelsclassicalintegrablelatticematricesquantumablealgebra
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We translate effectively our earlier quantum constructions to the classical language and using Yang-Baxterisation of the Faddeev-Reshetikhin-Takhtajan algebra are able to construct Lax operators and associated $r$-matrices of classical integrable models. Thus new as well as known lattice systems of different classes are generated including new types of collective integrable models and canonical models with nonstandard $r$ matrices.

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