### Abstract

We compute the R-matrix which intertwines two-dimensional evaluation representations with Drinfeld comultiplication for U_{q} (sl_{2}). 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(sl_{2}) 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 |

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### Keywords

- Drinfeld comultiplication
- Hopf algebra
- R-matrices

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics