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Paper   IPM / Physic / 6535
School of Physics
  Title:   The Universal R-Matrix for the Jordanian Deformation of sl(2), and the Contracted Forms of so(4)
1.  A. Shariati
2.  A. Aghamohammadi
3.  M. Khorrami
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  36
  Vol.:  11
  Year:  1996
  Pages:   187-197
  Supported by:  IPM
We introduce a universal R-matrix for the Jordanian deformation of U(sl(2)). Using Uh(so(4))=Uh(sl (2)) ⊕Uh(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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