NOTES ON THE STRUCTURE OF QUANTIZED HERMITIAN SYMMETRICAL SPACES

We give a self-contained presentation of quantization theory for non-c ompact hermitian symmetric spaces within a non-perturbative scheme, re viewing previously established facts as needed. A number of new result s are proven, with emphasis on the algebraic and structural aspects of the theory. In addition, we formulate a number of conjectures concern ing the structure of the C-algebras of quantized functions.