Positive energy representations of the loop groups of non-simply connected Lie groups

Communications in Mathematical Physics

Volumn 207, Issue 2, 1999, Pages 307-339

  Toledano Laredo, Valerio ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033478449     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050728     Document Type: Article

References (18)

1. [Bou] Bourbaki, N.: Groupes et Algèbres de Lie, Chapitres 4, 5 et 6. Paris: Masson, 1981
2. ∞-Diffeomorphisms. Appendix to A Curious Remark Concerning the Geometric Transfer Map by John Mather. Comment. Math. Helv. 59, 111-122 (1984)
3. Felder, G., Gawȩdzki, K., Kupiainen, A.: The Spectrum of Wess-Zumino-Witten Models. Nucl. Phys. 8299, 355-66 (1988)
4. Felder, G., Gawȩdzki, K., Kupiainen, A.: Spectra of Wess-Zumino-Witten Models with Arbitrary Simple Groups. Commun. Math. Phys. 117, 127-58 (1988)
5. [Ga] Gaberdiel, M.R.: WZW Models of General Simple Groups. Nucl. Phys. B460, 181-202 (1996)
6. [GW] Gepner, D., Witten, E.: String Theory on Group Manifolds. Nucl. Phys. B278, 493-549 (1986)
7. [GO] Goddard, P., Olive, D.: The Magnetic Charges of Stable Self-Dual Monopoles. Nucl. Phys. B191, 528-548 (1981)
8. [GoWa] Goodman, R., Wallach, N.R.: Structure and Unitary Cocycle Representations of Loop Groups and the Group of Diffeomorphisms of the Circle. J. Reine Angew. Math. 347, 69-133 (1984)
9. ∞, Isotopes à l'Identité, du Tore de Dimension n. C. R. Acad. Sci. Paris, Ser. A, 273, 232-4 (1971)
10. [Hu] Humphreys, J.E.: Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics, Berlin-Heidelberg-New York: Springer-Verlag, 1972
11. [Ka] Kac, V.: Infinite Dimensional Lie Algebras. 3rd. edition, Cambridge: Cambridge University Press, 1994
12. Mackey, G.W.: Unitary Representations of Group Extensions I. Acta. Math. 99, 265-311 (1958)
13. Mackey, G.W.: The Theory of Unitary Group Representations. Chicago: University of Chicago Press, 1976
14. [OT] Olive, D., Turok, N.: The Symmetries of Dynkin Diagrams and the Reduction of Toda Field Equations Nucl. Phys. B215, 470-494 (1983)
15. [PS] Pressley, A., Segal, G.B.: Loop Groups. Oxford: Oxford University Press, 1986
16. [Wa] Wassermann, A.J.: Conformal Field Theory and Operator Algebras II: Fusion for Von Neumann Algebras and Loop groups. In preparation
17. 2n. Ph.D. dissertation, University of Cambridge, 1997
18. Toledano Laredo, V.: Integrating Unitary Representations of Infinite-Dimensional Lie Groups. J. Funct. Anal. 161, 478-508 (1999)