“School of Physic”
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| Paper IPM / Physic / 6535 |
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| Abstract: | |||||||
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We introduce a universal R-matrix for the Jordanian deformation of
U(sl(2)). Using
Uh(so(4))=Uh(sl (2)) ⊕U−h(sl(2)), we obtain
the universal R-matrix for Uh (so(4)). Applying the graded
contractions on the universal R-matrix of Uh(so(4)), we show that
there exist three distinct R-matrices for all the contracted algebras. It is
shown that Uh(sl(2)), Uh(so (4)), and all of these contracted
algebras are triangular.
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