Representation of compact Lie groups and quantization by deformation. (English) Zbl 0681.58016

Arnal, D.; Cahen, M.; Gutt, S.

Bull. Cl. Sci., V. Sér., Acad. R. Belg. 74, No. 4-5, 123-141 (1988).

In the paper under review the authors realize the *-representation program for compact semi-simple Lie groups using some results of Kodaira and Berezin. The injectivity of Kodaira’s map and its interpretation as a momentum map relates their construction by to some existing ones.

Reviewer: M.Puta

MSC:

53D50	Geometric quantization
22E46	Semisimple Lie groups and their representations

Keywords:

Lie groups; quantization by deformation; representation program; semi- simple Lie groups