Mathematics – Algebraic Geometry
Scientific paper
1996-08-04
Mathematics
Algebraic Geometry
PBW argument completed
Scientific paper
We construct quasi-Hopf algebras quantizing double extensions of the Manin pairs of Drinfeld, associated to a curve with a meromorphic differential, and the Lie algebra sl(2). This construction makes use of an analysis of the vertex relations for the quantum groups obtained in our earlier work, PBW-type results and computation of $R$-matrices for them; its key step is a factorization of the twist operator relating ``conjugated'' versions of these quantum groups.
Enriquez Benjamin
Rubtsov Vladimir
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