Quasi-Hopf algebras associated with sl(2) and complex curves
q-alg
2008-02-03 v3 Algebraic Geometry
Quantum Algebra
Abstract
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 -matrices for them; its key step is a factorization of the twist operator relating ``conjugated'' versions of these quantum groups.
Cite
@article{arxiv.q-alg/9608005,
title = {Quasi-Hopf algebras associated with sl(2) and complex curves},
author = {B. Enriquez and V. Rubtsov},
journal= {arXiv preprint arXiv:q-alg/9608005},
year = {2008}
}
Comments
PBW argument completed