Singular R-Matrices and Drinfeld's Comultiplication

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We compute the R-matrix which intertwines two-dimensional evaluation representations with Drinfeld comultiplication for Uq (sl2). This R-matrix contains terms proportional to the δ-function. We construct the algebra A(R) generated by the elements of the matrices L±(z) with relations determined by R using the formulation of Reshetikhin-Semenov-Tian-Shansky. In the category of highest-weight representations, there is a Hopf algebra isomorphism between A(R) and an extension Ū9(sl2) of Drinfeld's algebra.

Original languageEnglish (US)
Pages (from-to)149-160
Number of pages12
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Jul 2 1997
Externally publishedYes


  • Drinfeld comultiplication
  • Hopf algebra
  • R-matrices

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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