Classical integrable lattice models through quantum group related formalism

Details Classical integrable lattice models through quantum group related formalism Classical integrable lattice models through quantum group related formalism

1994-02-17

arxiv.org/abs/hep-th/9402101v1

Theor.Math.Phys. 99 (1994) 699-704; Teor.Mat.Fiz. 99N3 (1994) 428-434

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; Talk presented at NEEDS'93 (Gallipoli,Italy)

Scientific paper

10.1007/BF01017055

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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