Geometric approach to discrete series of unirreps for Vir

Journal des Mathematiques Pures et Appliquees

Volumn 77, Issue 8, 1998, Pages 735-746

  Kirillov, A A ^a,b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032186469     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(98)80007-X     Document Type: Article

References (7)

1. [1] A. A. KIRILLOV, A Kähler structure on K-orbits of the group of diffeomorphisms of a circle, Funct. Anal. and Appl. 21, 1987, no. 2, pp. 42-45.
2. 1), Funct. Anal. and Appl. 21, 1987, no. 4, pp. 34-46.
3. [3] A. A. KIRILLOV, Geometric quantization, Encyclopaedia of Mathematical Sciences, Dynamical Systems, vol. 4, Springer-Verlag, 1989.
4. [4] B. L. FEIGIN and D. B. FUCHS, Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra, Funct. Anal. and Appl. 16, 1982, pp. 114-126.
5. [5] D. FRIEDAN, Z. QIU, S. SHENKER, Details of the non-unitarity proof for highest weight representations of the Virasoro algebra, Commun. Math. Phys. 107, 1986, pp. 535-542.
6. [6] Yu. A. NERETIN, Representations of Virasoro and Affine Lie Algebras, Encyclopaedia of Mathematical Sciences, Non-commutative Harmonic Analysis, vol. 22, Springer-Verlag, 1994, pp. 157-225.
7. [7] M. J. BOWICK and S. G. RAJEEV, String theory as the Kähler geometry of loop space, Phys. Rev. Lett. 58, 1987, pp. 535-538.