Unitarity of induced representations from coisotropic quantum subgroups

Letters in Mathematical Physics

Volumn 49, Issue 1, 1999, Pages 17-31

  Bonechi, F ^a   Ciccoli, N ^c   Giachetti, R ^b   Sorace, E ^a   Tarlini, M ^a  

^a INFN SEZIONE DI FIRENZE   (Italy)

^b UNIVERSITY OF PERUGIA   (Italy)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Coisotropic subgroups; Induced representations; Quantum subgroups

Indexed keywords

EID: 0002729775     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007678630817     Document Type: Article

References (17)

1. Bonechi, F., Ciccoli, N., Giachetti, R., Sorace, E. and Tarlini, M.: Comm. Math. Phys. 175 (1996), 161.
2. Bonechi, F., Giachetti, R., Sorace, E. and Tarlini, M.: Lett. Math. Phys. 43 (1998), 309.
3. Celeghini, E., Giachetti, R., Sorace, E. and Tarlini, M.: Contractions of semisimple quantum groups, In: Proc. Semester on Quantum Groups, Leningrad 1990, Lecture Notes in Math. 1510, Springer-Verlag, New York, 1992, p. 221.
4. Ciccoli, N.: Lett. Math. Phys. 42 (1997), 23.
5. Ciccoli, N. Induction of quantum group representations. Preprint 96/16 Dipartimento di Matematica dell'Università di Bologna, math.QA/9804138. J. Geom. Phys. in press.
6. Dijkhuizen, M. S. and Koornwinder, T. H.: Lett. Math. Phys. 32 (1994), 315.
7. Gover, A. R. and Zhang, R. B.: Geometry of quantum homogeneous vector bundles and representation theory of quantum groups I, q-alg 9705016.
8. Kirillov, A.: Éléments de la théorie des représentations, MIR, 1974.
9. Koelink, H. T.: On quantum groups and q-special functions, PHD Thesis, University of Leiden (1991).
10. Korogodskii, L. I.: Comm. Math. Phys. 163 (1994), 433.
11. Masuda, T., Mimachi, K., Nakagami, Y., Noumi, M., Saburi, Y. and Ueno, K.: Lett. Math. Phys. 19 (1990), 187.
12. Ota, S.: Ann. Inst. H. Poincaré Phys. Théor. 48 (1988), 333.
13. Parshall, B. and Wang, J. P.: Mem. Amer. Math. Soc. 89 (439) (1991).
14. Podleś, P.: Lett. Math. Phys. 14 (1987), 193.
15. Vaksman, L. L. and Korogodski, L. I.: Soviet Math. Dokl. 39 (1989), 173.
16. Woronowicz, S. L.: Lett. Math. Phys. 23 (1991), 251; Comm. Math. Phys. 136 (1991), 399.
17. Woronowicz, S. L.: Lett. Math. Phys. 23 (1991), 251; Comm. Math. Phys. 136 (1991), 399.