Berezin quantization and representation theory

V.F. Molchanov
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Abstract

We present an approach to Berezin quantization (a variant of quantization in the spirit of Berezin) on para-Hermitian symmetric spaces using the notion of an “overgroup”. This approach gives covariant and contravariant symbols and the Berezin transform in a natural and transparent way.
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贝雷津量子化和表示理论
我们提出了一种利用 "超群 "概念对准赫米蒂对称空间进行贝雷津量子化(贝雷津精神中的量子化变体)的方法。这种方法以自然而透明的方式给出了协变和倒易变符号以及贝雷津变换。
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