Singular R-matrices and Drinfeld's comultiplication

1996/11/03 by Rinat Kedem, Kedem, Rinat · 1 citation
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9611001

openalex publication_date 1996/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the R-matrix which intertwines two dimensional evaluation representations with Drinfeld comultiplication for U_q(\widehatsl₂). This R-matrix contains terms proportional to the delta-function. We construct the algebra A(R) generated by the elements of the matrices L^±(z) with relations determined by R. In the category of highest weight representations, there is a Hopf algebra isomorphism between A(R) and an extension U_q(\widehatsl₂) of Drinfeld's algebra.

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