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 language | English (US) |
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Pages (from-to) | 149-160 |
Number of pages | 12 |
Journal | Letters in Mathematical Physics |
Volume | 41 |
Issue number | 2 |
DOIs | |
State | Published - Jul 2 1997 |
Externally published | Yes |
Keywords
- Drinfeld comultiplication
- Hopf algebra
- R-matrices
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics