Classical integrable lattice models through quantum group related formalism

A. Kundu

Saha Institute of Nuclear Physics

Abstract: We effectively translate our earlier quantum constructions to the classical language and, using Yang–Baxterisation of the Faddeev–Reshetikhin–Takhtajan algebra, are able to construct the 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.

 English version: Theoretical and Mathematical Physics, 1994, 99:3, 699–704

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