Berezin quantization and representation theory

2023/12/20 by Molchanov, V. F.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2312.13176

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

Related

• Spectral aspects of the Berezin transform
• Berezin quantization of homogeneous bounded domains
• Berezin quantization and unitary representations of Lie groups
• Berezin symbols on Lie groups
• Berezin-Engliš' quantization of Cartan-Hartogs domains