Covariant realization of quantum spaces as star products Drinfeld twists

Journal of Mathematical Physics

Volumn 44, Issue 10, 2003, Pages 4736-4755

  Blohmann, Christian ^a  

^a JACOBS UNIVERSITY BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142073331     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1602553     Document Type: Article

References (28)

1. M. Gerstenhaber, Ann. Math. 79, 59 (1964).
2. F. Bayen, M. Plato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N.Y.) 111, 61 (1978).
3. N. Seiberg and E. Witten, J. High Energy Phys. 09, 032 (1999).
4. J. Madore, S. Schraml, P. Schupp, and J. Wess, Eur. Phys. J. C 16, 161 (2000).
5. Y. I. Manin, Quantum Groups and Non-Commutative Geometry (Centre de Recherche Mathématiques, Montréal, 1988).
6. L. D. Faddeev, N. Y. Reshetikhin, and L. A. Takhtajan, Leningrad Math. J. 1, 193 (1990).
7. U. Carow-Watamura, M. Schlieker, M. Scholl, and S. Watamura, Z. Phys. C 48, 159 (1990).
8. V. G. Drinfeld, Sov. Math. Dokl. 32, 254 (1985).
9. M. Jimbo, Lett. Math. Phys. 10, 63 (1985).
10. V. G. Drinfeld, Leningrad Math. J. 1, 1419 (1990).
11. H. Grosse, J. Madore, and H. Steinacker, J. Geom. Phys. 43, 205 (2002).
12. F. Bonechi, R. Giachetti, E. Sorace, and M. Tarlini, Commun. Math. Phys. 169, 627 (1995).
13. C. Kassel, Quantum Groups (Springer, New York, 1994).
14. V. G. Drinfeld, Leningrad Math. J. 1, 321 (1990).
15. G. Fiore, Rev. Math. Phys. 12, 327 (2000).
16. S. Majid, Foundations of Quantum Group Theory (Cambridge University Press, Cambridge, 1995).
17. J. Donin and S. Shnider, Trans. Am. Math. Soc. 349, 1611 (1997).
18. G. Lusztig, Adv. Math. 70, 237 (1988).
19. M. Rosso, Commun. Math. Phys. 117, 581 (1988).
20. P. P. Kulish and N. Y. Reshetikhin, J. Sov. Math. 23, 2435 (1983).
21. E. K. Sklyanin, Usp. Mat. Nauk 40, 214 (1985).
22. V. G. Drinfeld, "Quantum groups," in Proceedings of the International Congress of Mathematicians, edited by A. M. Gleason (AMS, Providence, RI, 1986), pp. 798-820.
23. A. Klymik and K. Schmüdgen, Quantum Groups and Their Representations (Springer, New York, 1997).
24. T. L. Curtright, G. I. Ghandour, and C. K. Zachos, J. Math. Phys. 32, 676 (1991).
25. S. Majid, J. Math. Phys. 34, 2045 (1993).
26. S. L. Woronowicz, Publ. Res. Inst. Math. Sci. Kyoto 23, 117 (1987).
27. M. Takeuchi, The #-product of group sheave extensions applied to Long's theory of dimodule algebras, Algebra-Berichte (R. Fischer, Munich, 1977), Vol. 34.
28. L. Da̧browski, F. Nesti, and P. Siniscalco, "On the Drinfeld twist for quantum sl(2)," q-alg/9610012.