Quantum groups in higher genus and drinfeld's new realizations method (s-fraktur signl-fraktur sign2 case)

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 30, Issue 6, 1997, Pages 821-846

  Enriquez, B ^a   Rubtsov, V N ^a,b  

^a CENTRE DE MATHÉMATIQUES LAURENT SCHWARTZ   (France)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031280728     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(97)89940-5     Document Type: Article

References (16)

1. [1] J. BECK, Braid group action and quantum affine algebras (Commun. Math. Phys., Vol. 165, 1994, pp. 555-68).
2. [2] V. CHARI and A. PRESSLEY, Quantum affine algebras (Commun. Math. Phys., Vol. 142, 1991, pp. 261-83).
3. n) (Commun. Math. Phys., Vol. 156, 1993, pp. 277-300).
4. [4] V. G. DRINFELD, A new realization of Yangians and quantized affine algebras (Sov. Math. Dokl., Vol. 36, 1988).
5. [5] V. G. DRINFELD, Quasi-Hopf algebras (Leningrad Math. J., Vol. 1:6, 1990, pp. 1419-57).
6. [6] B. ENRIQUEZ and G. FELDER, in preparation.
7. [7] P. ETINGOF and D. KAZHDAN, Quantization of Lie bialgebras, 1 (Selecta Math. 2 (1996). No. 1, pp. 1-41), q-alg/9506005.
8. [8] B. L. FEIGIN and E. V. FRENKEL, Quantum W-algebras and elliptic algebras (Commun. Math. Phys., Vol. 178, 1996, pp. 653-678), q-alg/9508009.
9. [9] I. B. FRENKEL and N. JING, Vertex representations of quantum affine algebras (Proc. Natl. Acad. Sci. USA, Vol. 85, 1988, pp. 9373-7).
10. [10] S. M. KHOROSHKIN and V. N. TOLSTOY, On Drinfeld's realization of quantum affine algebras (J. Geom. Phys., Vol. 11, 1993, pp. 445-52).
11. [11] N. Yu. RESHETIKHIN and M. A. SEMENOV-TIAN-SHANSKY, Central extensions of quantum current groups (Lett. Math. Phys., Vol. 19, 1990, pp. 133-42).
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).
14. [14] J.-P. SERRE, Groupes algébriques et corps de classes, Hermann, Paris, 1959.
15. [15] E. K. SKLYANIN, Some algebraic structures connected with the Yang-Baxter equation (Funct. An. Appl., Vol. 16, 1982, pp. 263-70).
16. [16] D. B. UGLOV, The quantum bialgebra associated with the eight-vertex R-matrix (Lett. Math. Phys., Vol. 28, 1993, pp. 139-42).