2 research outputs found
Classical integrable lattice models through quantum group related formalism
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 -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 matrices.Comment: 7 pages; Talk presented at NEEDS'93 (Gallipoli,Italy
A (p,q) Deformation of the Universal Enveloping Superalgebra U(osp(2/2))
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 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