1,173 research outputs found
Quasi-Hopf algebras associated with sl(2) and complex curves
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.Comment: PBW argument complete
Basic representations of quantum current algebras in higher genus
We construct level 1 basic representations of the quantized current algebras
associated to higher genus algebraic curves using one free field. We also
clarify the relation between the elliptic current algebras of the papers [EF]
and [JKOS].Comment: 11 pages, typos and acknowledge adde
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