QUANTUM GROUPS IN HIGHER-GENUS AND DRINFELDS NEW REALIZATIONS METHOD (SL(2) CASE)

Authors
ENRIQUEZ B RUBTSOV VN
Citation
B. Enriquez et Vn. Rubtsov, QUANTUM GROUPS IN HIGHER-GENUS AND DRINFELDS NEW REALIZATIONS METHOD (SL(2) CASE), Annales Scientifiques de l'Ecole Normale Superieure, 30(6), 1997, pp. 821-846
Citations number
16
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
30
Issue
6
Year of publication
1997
Pages
821 - 846
Database
ISI
SICI code
0012-9593(1997)30:6<821:QGIHAD>2.0.ZU;2-C
Abstract
We define double (central and cocentral) extensions of Manin pairs att ached 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 st udy finite-dimensional representations of these algebras at level 0, a nd some elliptic examples.