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

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
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