2 research outputs found

    Classical integrable lattice models through quantum group related formalism

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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 rr-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 rr matrices.Comment: 7 pages; Talk presented at NEEDS'93 (Gallipoli,Italy

    A (p,q) Deformation of the Universal Enveloping Superalgebra U(osp(2/2))

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    We investigate a two parameter quantum deformation of the universal enveloping orthosymplectic superalgebra U(osp(2/2)) by extending the Faddeev-Reshetikhin-Takhtajan formalism to the supersymetric case. It is shown that Up,q(osp(2/2))U_{p,q}(osp(2/2)) possesses a non-commutative, non-cocommutative Hopf algebra structure. All the results are expressed in the standard form using quantum Chevalley basis.Comment: 8 pages; IC/93/41
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