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Zbl 0897.17012
Enriquez, B.; Rubtsov, V.N.
Quantum groups in higher genus and Drinfeld's new realizations method (${\germ sl}_2$ case).
(English)
[J] Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 821-846 (1997). ISSN 0012-9593

From the paper: We define double (central and cocentral) extensions of Manin pairs attached to curves and meromorphic differentials, introduced by Drinfeld. We define ``infinite twists'' of these pairs and quantize them in the $sl_2$ case, adapting Drinfeld's ``new realizations'' technique. We study finite-dimensional representations of these algebras at level 0, and some elliptic examples.
[A.N.Pressley (London)]
MSC 2000:
*17B37 Quantum groups and related deformations
17B67 Kac-Moody algebras
16W30 Hopf algebras (assoc. rings and algebras)

Keywords: quantum groups; infinite twists; Manin pairs; meromorphic differentials

Cited in: Zbl 1143.81016 Zbl 0959.17013

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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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