Coloured Hopf Algebras
نویسنده
چکیده
Since its introduction (for reviews see e.g. [1]), the parametrized Yang-Baxter equation (YBE) has played a crucial role in nonlinear integrable systems in physics, such as exactly solvable statistical mechanics models and lowdimensional integrable field theories. Its constant form has also appeared in knot theory, where it is connected with braid groups. In addition, the YBE has inspired the development of quantum groups and quantum universal enveloping algebras (QUEAs). The latter have appeared in the literature in two different, but related forms: the Faddeev-Reshetikhin-Takhtajan (FRT) and Drinfeld-Jimbo (DJ) formulations. In recent years, some integrable models with nonadditive-type solutions R 6= R(λ−μ) of the YBE have been discovered [2]. The corresponding YBE
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