Singular R-Matrices and Drinfeld's Comultiplication

Research output: Contribution to journalArticle

Abstract

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
Volume41
Issue number2
DOIs
StatePublished - Jul 2 1997
Externally publishedYes

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R-matrix
algebra
Highest Weight Representations
Algebra
Hopf Algebra
Isomorphism
isomorphism
Directly proportional
Formulation
Evaluation
Term
formulations
evaluation
matrices

Keywords

  • Drinfeld comultiplication
  • Hopf algebra
  • R-matrices

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Singular R-Matrices and Drinfeld's Comultiplication. / Kedem, Rinat.

In: Letters in Mathematical Physics, Vol. 41, No. 2, 02.07.1997, p. 149-160.

Research output: Contribution to journalArticle

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