The principal SO(1, 2) subalgebra of a hyperbolic Kac-Moody algebra

Letters in Mathematical Physics

Volumn 58, Issue 2, 2001, Pages 141-152

  Nicolai, H ^a   Olive, D I ^b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Hyperbolic algebra; Kac Moody; Principal three dimensional subalgebra

Indexed keywords

EID: 0001399043     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013389001951     Document Type: Article

References (26)

1. Kac, V. G.: Infinite Dimensional Lie Algebras, 3rd edn, Cambridge Univ. Press, 1990.
2. Moody, R. V. and Pianzola, A.: Lie Algebras with Triangular Decomposition, Wiley, New York, 1995.
3. Bardakçi, K. and Halpern, M. B.: Phys. Rev. D 3 (1971), 2493.
4. Frenkel, I. B. and Kac, V. G.: Invent. Math. 62 (1980), 23.
5. Goddard, P. and Olive, D. I.: In: Vertex Operators in Mathematics and Physics, J. Lepowsky et al. (eds), MSRI Publ. 3, Springer-Verlag, Heidelberg, 1985, pp. 51-96; Internat. J. Modern Phys. A 1 (1986), 303.
6. Goddard, P. and Olive, D. I.: In: Vertex Operators in Mathematics and Physics, J. Lepowsky et al. (eds), MSRI Publ. 3, Springer-Verlag, Heidelberg, 1985, pp. 51-96; Internat. J. Modern Phys. A 1 (1986), 303.
7. Damour, T. and Henneaux, M.: Phys. Rev. Lett. 86 (2001), 4749 [hep-th/0012172].
8. Damour, T., Henneaux, M., Julia, B. and Nicolai, H.: Phys. Lett. B 509 (2001), 323, [hep-th/0103094].
9. Olive, D. I. and Turok, N., Nuclear Phys. B 215[FS7] (1983), 470; 257[FS14] (1985), 277.
10. Olive, D. I. and Turok, N., Nuclear Phys. B 215[FS7] (1983), 470; 257[FS14] (1985), 277.
11. Braden, H. W., Corrigan, E., Dorey, P. E. and Sasaki, R.: Nuclear Phys. B 338 (1990), 689; 356 (1991), 469.
12. Braden, H. W., Corrigan, E., Dorey, P. E. and Sasaki, R.: Nuclear Phys. B 338 (1990), 689; 356 (1991), 469.
13. Gebert, R. W., Inami, T. and Mizoguchi, S.: Internat. J. Modern Phys. A 11 (1996), 5479 [hep-th/9503176].
14. Feingold, A. and Frenkel, I.: Math. Ann. 263 (1983), 87.
15. Kac, V. G., Moody, R. V. and Wakimoto, M.: In: K. Bleuler and M. Werner (eds), Differential Geometrical Methods in Theoretical Physics, Proc. NATO Advanced Research Workshop, 16th Int. Conf., Como, Kluwer, Acad. Publ., Dordrecht, 1988, pp. 109-128.
16. Bauer, M. and Bernard, D.: Lett. Math. Phys. 42 (1997), 153 [hep-th/9612210].
17. Gebert, R. W. and Nicolai, H.: Comm. Math. Phys. 172 (1995), 571.
18. Gebert, R. W., Nicolai, H. and West, P. C.: Internat. J. Modern Phys. A 11 (1996), 429-514.
19. Kac, V. G.: Proc. Natl. Acad. Sci. USA 81 (1984), 645.
20. Kostant, B.: Amer. J. Math. 81 (1959), 973.
21. : 18. Dynkin, E. B.: Transl. Amer. Math. Soc. (2) 6 (1957), 111.
22. Flato, M. and Sternheimer, D.: J. Math. Phys. 7 (1966), 1932.
23. Leites, D. A., Saveliev, M. V. and Serganova, V. V.: In: Group Theoretical Methods in Physics, Vol. I (Yurmala, 1985) 255, VNU Sci. Press, Utrecht, 1986.
24. Barut, A. O. and Fronsdal, C.: Proc. Royal Soc. A 287 (1965), 532.
25. Kac, V. G. and Peterson, D. H.: Invent. Math. 76 (1984), 1.
26. Saçlioǧlu, C.: J. Phys. A 22 (1989), 3753.