Email this article BEREZIN QUANTIZATION AS A PARTOF THE REPRESENTATION THEORY
- Authors: Molchanov V.F.1
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Affiliations:
- Tambov State University named after G.R. Derzhavin
- Issue: Vol 22, No 6 (2017)
- Pages: 1235-1246
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/362875
- DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1235-1246
- ID: 362875
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Abstract
We present an approach to polynomial 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 highly natural and transparent way.
About the authors
Vladimir Fedorovich Molchanov
Tambov State University named after G.R. Derzhavin
Email: v.molchanov@bk.ru
Doctor of Physics and Mathematics, Professor of the Functional Analysis Department 33 Internatsionalnaya st., Tambov, Russian Federation, 392000
References
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