Polynomial realization of the Uq(sl(3)) Gel'fand-(Weyl)-Zetlin basis

Journal of Mathematical Physics

Volumn 38, Issue 7, 1997, Pages 3750-3767

  Dobrev, V K ^a,b   Truini, P ^c  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031517681     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532074     Document Type: Article

References (23)

1. V. K. Dobrev, P. Truini, and L. C. Biedenharn, J. Math. Phys. 35, 6058 (1994).
2. L. C. Biedenharn and M. A. Lohe, Commun. Math. Phys. 146, 483 (1992).
3. L. C. Biedenharn and M. A. Lohe, Quantum Group Symmetry and q-Tensor Algebras (World Scientific, Singapore, 1995).
4. G. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963).
5. J. D. Louck, Am. J. Phys. 38, 3 (1970).
6. V. G. Drinfeld, Sov. Math. Dokl. 32, 2548 (1985); in Proceedings of the International Congress of Mathematicians, Berkeley (1986) (American Mathematical Society, Providence, 1987) Vol. 1, p. 798.
7. V. G. Drinfeld, Sov. Math. Dokl. 32, 2548 (1985); in Proceedings of the International Congress of Mathematicians, Berkeley (1986) (American Mathematical Society, Providence, 1987) Vol. 1, p. 798.
8. M. Jimbo, Lett. Math. Phys. 10 63 (1985); 11, 247 (1986).
9. M. Jimbo, Lett. Math. Phys. 10 63 (1985); 11, 247 (1986).
10. M. Jimbo, in Proceedings, Symposium on Field Theory, Quantum Gravity and Strings, Meudon and Paris VI, 1984/85, Lect. Notes Phys. 246, 335 (1986).
11. K. Ueno, T. Takebayashi, and Y. Shibukawa, Lett. Math. Phys. 18, 215 (1989).
12. D. Arnaudon and A. Chakrabarti, Commun. Math. Phys. 139, 461 (1991).
13. C. Quesne, J. Phys. A 25, 5977 (1992).
14. C. Quesne, J. Phys. A 26, 357 (1993).
15. A. Chakrabarti, J. Math. Phys. 9, 2087 (1968).
16. A. Chakrabarti, J. Math. Phys. 32, 1227 (1991).
17. V. K. Dobrev, Rep. Math. Phys. 25, 159 (1988).
18. N. N. Shapovalov, Funkt. Anal. Prilozh. 6 (4), 65 (1972); English translation: Funkt. Anal. Appl. 6, 307 (1972).
19. N. N. Shapovalov, Funkt. Anal. Prilozh. 6 (4), 65 (1972); English translation: Funkt. Anal. Appl. 6, 307 (1972).
20. I. S. Gradstein and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).
21. V. K. Dobrev, in Proceedings of the International Group Theory Conference, edited by C. M. Campbell and E. F. Robertson (St. Andrews, 1989), Vol. 1, London Math. Soc. Lect. Note Ser. 159, 87 (1991).
22. q(sl(3)) representations at roots of unity via Gel'fand-(Weyl)-Zetlin basis," J. Math. Phys. 38, 2631-2651 (1997).
23. V. K. Dobrev, in Proceedings of the Yukawa International Seminar, Kyoto, May 1990, edited by T. Eguchi, T. Inami, and T. Miwa, Progr. Theor. Phys. Suppl. 102, 137 (1990).