Irregular Uq(sl(3)) representations at roots of unity via Gel'fand-(Weyl)-Zetlin basis

Journal of Mathematical Physics

Volumn 38, Issue 5, 1997, Pages 2631-2651

  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: 0031531451     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532001     Document Type: Article

References (54)

1. V. K. Dobrev, P. Truini, and L. C. Biedenharn, J. Math. Phys. 35, 6058 (1994).
2. q(sl(3)) Gel'fand-(Weyl)-Zetlin basis," to appear in J. Math. Phys.
3. V. G. Drinfeld, Sov. Math. Dokl. 32, 2548 (1985), in Proceedings of the International Congress of Mathematicians, Berkeley (1986), Vol. 1 (The American Mathematical Society, Providence, 1987), p. 798.
4. V. G. Drinfeld, Sov. Math. Dokl. 32, 2548 (1985), in Proceedings of the International Congress of Mathematicians, Berkeley (1986), Vol. 1 (The American Mathematical Society, Providence, 1987), p. 798.
5. M. Jimbo, Lett. Math. Phys. 10, 63 (1985); 11, 247 (1986).
6. M. Jimbo, Lett. Math. Phys. 10, 63 (1985); 11, 247 (1986).
7. G. Lusztig, Contemp. Math. 82, 59 (1988).
8. V. Pasquier, Nucl. Phys. B 295, 49 (1989).
9. P. Roche and D. Arnaudon, Lett. Math. Phys. 17, 295 (1989).
10. V. K. Dobrev, ICTP preprint IC/89/142 (June 1989) and in Proceedings of the International Group Theory Conference (St. Andrews, 1989), edited by C. M. Campbell and E. F. Robertson, Vol. 1, Lond. Math. Soc. Lect. Note Ser. 159, 87 (1991).
11. C. De Concini and V. G. Kac, Progress Math. 92, 47 (1990), first as Pisa Scuola Normale Superiore math. preprint No. 75 (May 1990).
12. G. Lusztig, J. Alg. 131, 466 (1990).
13. L. Alvarez-Gaumé, C. Gómez, and G. Sierra, Phys. Lett. B 220, 142 (1989); Nucl. Phys. B 319, 155 (1989); 330, 347 (1990); Vadim Knizhnik Memorial Volume, edited by L. Brink, D. Friedan, and A. M. Polyakov (World Scientific, Singapore, 1990), pp. 16-184.
14. L. Alvarez-Gaumé, C. Gómez, and G. Sierra, Phys. Lett. B 220, 142 (1989); Nucl. Phys. B 319, 155 (1989); 330, 347 (1990); Vadim Knizhnik Memorial Volume, edited by L. Brink, D. Friedan, and A. M. Polyakov (World Scientific, Singapore, 1990), pp. 16-184.
15. L. Alvarez-Gaumé, C. Gómez, and G. Sierra, Phys. Lett. B 220, 142 (1989); Nucl. Phys. B 319, 155 (1989); 330, 347 (1990); Vadim Knizhnik Memorial Volume, edited by L. Brink, D. Friedan, and A. M. Polyakov (World Scientific, Singapore, 1990), pp. 16-184.
16. L. Alvarez-Gaumé, C. Gómez, and G. Sierra, Phys. Lett. B 220, 142 (1989); Nucl. Phys. B 319, 155 (1989); 330, 347 (1990); Vadim Knizhnik Memorial Volume, edited by L. Brink, D. Friedan, and A. M. Polyakov (World Scientific, Singapore, 1990), pp. 16-184.
17. G. Moore and N. Yu. Reshetikhin, Nucl. Phys. B 328, 557 (1989).
18. G. Moore and N. Seiberg, Commun. Math. Phys. 123, 177 (1989).
19. E. Witten, Nucl. Phys. B 330, 285 (1990).
20. A. Ch. Ganchev and V. B. Petkova, Phys. Lett. B 233, 374 (1989).
21. G. Felder, J. Fröhlich, and G. Keller, Commun. Math. Phys. 124, 647 (1989); 130, 1 (1990).
22. G. Felder, J. Fröhlich, and G. Keller, Commun. Math. Phys. 124, 647 (1989); 130, 1 (1990).
23. L. D. Faddeev, Commun. Math. Phys. 132, 131 (1990).
24. P. Furlan, A. Ch. Ganchev, and V. B. Petkova, Nucl. Phys. B 343, 205 (1990); Int. J. Mod. Phys. A 6, 4859 (1991).
25. P. Furlan, A. Ch. Ganchev, and V. B. Petkova, Nucl. Phys. B 343, 205 (1990); Int. J. Mod. Phys. A 6, 4859 (1991).
26. P. Bouwknegt, J. McCarthy, and K. Pilch, Phys. Lett. B 234, 297 (1990); Commun. Math. Phys. 131, 125 (1990).
27. P. Bouwknegt, J. McCarthy, and K. Pilch, Phys. Lett. B 234, 297 (1990); Commun. Math. Phys. 131, 125 (1990).
28. N. Yu. Reshetikhin and F. A. Smirnov, Commun. Math. Phys. 131, 157 (1990).
29. G. Mack and V. Schomerus, Commun. Math. Phys. 134, 139 (1990).
30. C. Gómez and G. Sierra, Phys. Lett. B 240, 149 (1990); 255, 51 (1991); Nucl. Phys. B 352, 791 (1991).
31. C. Gómez and G. Sierra, Phys. Lett. B 240, 149 (1990); 255, 51 (1991); Nucl. Phys. B 352, 791 (1991).
32. C. Gómez and G. Sierra, Phys. Lett. B 240, 149 (1990); 255, 51 (1991); Nucl. Phys. B 352, 791 (1991).
33. C. Ramirez, H. Ruegg, and M. Ruiz-Altaba, Phys. Lett. B 247, 499 (1990).
34. L. K. Hadjiivanov, R. R. Paunov, and I. T. Todorov, Nucl. Phys. B, Proc. Suppl. 18, 141 (1990).
35. P. P. Kulish and E. K. Sklyanin, J. Phys. A 24, L435 (1991).
36. V. K. Dobrev, in Proceedings of the International Symposium Symmetries in Science V: Algebraic Structures, their Representations, Realizations and Physical Applications (Schloss Hofen, Austria, 1990), edited by B. Gruber, L. C. Biedenharn, and H.-D. Doebner (Plenum, New York, 1991), p. 93.
37. V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge U.P., Cambridge, 1994).
38. B. Abdesselam, D. Arnaudon, and A. Chakrabarti, J. Phys. A 28, 5495 (1995).
39. 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).
40. M. Jimbo, in Proceedings, Symposium on Field Theory, Quantum Gravity and Strings, Meudon and Paris VI, 1984/85, Lect. Notes Phys. 246, 335 (1986).
41. K. Ueno, T. Takebayashi, and Y. Shibukawa, Lett. Math. Phys. 18, 215 (1989).
42. A. Chakrabarti, J. Math. Phys. 32, 1227 (1991).
43. D. Arnaudon and A. Chakrabarti, Commun. Math. Phys. 139, 461 (1991).
44. D. Arnaudon and A. Chakrabarti, Commun. Math. Phys. 139, 605 (1991).
45. B. Abdesselam, J. Phys. A 29, 1201 (1996).
46. V. K. Dobrev, Lett. Math. Phys. 22, 251 (1991).
47. M. Rosso, Commun. Math. Phys. 117, 581 (1987).
48. G. Lusztig, Adv. Math. 70, 237 (1988).
49. V. K. Dobrev, Rep. Math. Phys. 25, 159 (1988).
50. I. M. Gel'fand and M. L. Zetlin, Dokl. Akad. Nauk. SSSR 71(5), 825 (1950).
51. G. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963).
52. C. Quesne, J. Phys. A 25, 5977 (1992).
53. D. Arnaudon, Commun. Math. Phys. 134, 523 (1990).
54. q(sl(n))," in Classical and Quantum Systems, Proceedings of the 3rd Wigner Symposium, edited by L. L. Boyle and A. I. Solomon (Oxford, September 1993) (World Scientific, Singapore, to appear).