Invariant star-product on a Poisson-Lie group and h-deformation of the corresponding Lie algebra

International Journal of Theoretical Physics

Volumn 36, Issue 12, 1997, Pages 3007-3014

  Mansour, M ^a  

^a FACULTÉ DES SCIENCES   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031328286     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02435723     Document Type: Article

References (16)

1. Abe, E. (1980). Hopf Algebras, Cambridge University Press, Cambridge.
2. Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., and Sternheimer, D. (1978a). Deformation theory and quantization, I, Annals of Physics, 111, 61.
3. Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., and Sternheimer, D. (1978b). Deformation theory and quantization, II, Annals of Physics, 110, 111.
4. Drinfeld, V. G. (1983a). Soviet Mathematics Doklady, 27, 86.
5. Drinfeld, V. G. (1983b). On constant quasiclassical solution of the QYBE, Soviet Mathematics Doklady, 28, 667-671.
6. Drinfeld, V. G. (1987). Quantum groups in Proceedings International Conference of Mathematicians, Berkeley, 1986, AMS, Providence, Rhode Island.
7. Gurevich, D. (1990). Equation de Yang-Baxter et quantification des cocycles, Comptes Rendus de l'Academic des Sciences Paris, 1310, 845-848.
8. Gurevich, D. and Rubstov, V. (1990). Yang-Baxter and deformation of associative and Lie algebras algebras, in Lectures Notes in Mathematics, Vol. 1510, Springer, Berlin, p. 47.
9. Jimbo, M. (1985). Quantum R-matrix related to the toda system, an algebraic approach, in Lecture Notes in Physics, Vol. 246, Springer, Berlin, pp. 335-360.
10. Jimbo, M. (1989). International Journal of Modern Physics, A, 4, 3759.
11. Lu, J.-H. and Weinstein, A. (1990). Journal of Differential Geometry, 31, 501.
12. Manin, Yu. I. (1988). Quantum Groups and Non-commutative Geometry, Centre de Recherches Mathématiques, Montreal, Canada.
13. Moreno, C., and Valero, L. (1992). Star-products and quantization of Poisson-Lie groups, Journal of Geometry, and Physics, 9, 369-402.
14. Ohn, C. (1992). Lectures in Mathematical Physics, Vol. 25, Springer, Berlin, pp. 85-88.
15. Semenov-Tian-Shansky, M. (1985). Publications RIMS, Kyoto, 21, 1237.
16. Takhtajan, L. (1989). Introduction to Quantum Groups and Integrable Models of Quantum Field Theories, Lecture Notes in Physics, Vol. 370, Springer, Berlin.