Quantum groups in higher genus and Drinfeld’s new realizations method ( 𝔰 𝔩 2 case)

B. Enriquez; V. N. Rubtsov

Annales scientifiques de l'École Normale Supérieure (1997)

  • Volume: 30, Issue: 6, page 821-846
  • ISSN: 0012-9593

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Enriquez, B., and Rubtsov, V. N.. "Quantum groups in higher genus and Drinfeld’s new realizations method (${\mathfrak {s}\mathfrak {l}}_2$ case)." Annales scientifiques de l'École Normale Supérieure 30.6 (1997): 821-846. <http://eudml.org/doc/82451>.

@article{Enriquez1997,
author = {Enriquez, B., Rubtsov, V. N.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {quantum groups; infinite twists; Manin pairs; meromorphic differentials},
language = {eng},
number = {6},
pages = {821-846},
publisher = {Elsevier},
title = {Quantum groups in higher genus and Drinfeld’s new realizations method ($\{\mathfrak \{s\}\mathfrak \{l\}\}_2$ case)},
url = {http://eudml.org/doc/82451},
volume = {30},
year = {1997},
}

TY - JOUR
AU - Enriquez, B.
AU - Rubtsov, V. N.
TI - Quantum groups in higher genus and Drinfeld’s new realizations method (${\mathfrak {s}\mathfrak {l}}_2$ case)
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1997
PB - Elsevier
VL - 30
IS - 6
SP - 821
EP - 846
LA - eng
KW - quantum groups; infinite twists; Manin pairs; meromorphic differentials
UR - http://eudml.org/doc/82451
ER -

References

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  2. [2] V. CHARI and A. PRESSLEY, Quantum affine algebras (Commun. Math. Phys., Vol. 142, 1991, pp. 261-83). Zbl0739.17004MR93d:17017
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  4. [4] V. G. DRINFELD, A new realization of Yangians and quantized affine algebras (Sov. Math. Dokl., Vol. 36, 1988). Zbl0667.16004MR88j:17020
  5. [5] V. G. DRINFELD, Quasi-Hopf algebras (Leningrand Math. J., Vol. 1:6, 1990, pp. 1419-57). Zbl0718.16033MR91b:17016
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  12. [12] A. G. REYMAN and M. A. SEMENOV-TIAN-SHANSKY, Integrable systems II, ch. 11, (Encycl. Sov. Math., Vol. 16, “Dynamical systems, 7”, Springer-Verlag, 1993, pp. 188-225). 
  13. [13] M. A. SEMENOV-TIAN-SHANSKY, Poisson-Lie groups, quantum duality principle, and the quantum double (Theor. Math. Phys., Vol. 93, 1992, pp. 1292-307). Zbl0834.22019MR94e:58007
  14. [14] J.-P. SERRE, Groupes algébriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604MR21 #1973
  15. [15] E. K. SKLYANIN, Some algebraic structures connected with the Yang-Baxter equation (Funct. An. Appl., Vol. 16, 1982, pp. 263-70). Zbl0513.58028MR84c:82004
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