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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 2, Pages 241–248
DOI: https://doi.org/10.4213/tmf1040 (Mi tmf1040) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Remarks on geometric quantization of $R$-matrix type Poisson brackets

A. Yu. Kotov

M. V. Lomonosov Moscow State University
Full-text PDF (248 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1040
Abstract: We check the Vaisman condition of geometric quantization for $R$-matrix type Poisson pencil on a coadjoint orbit of a compact semisimple Lie group. It is shown that this condition is not satisfied for hermitian symmetric spaces. We also construct some examples when the Vaisman condition takes place.
Received: 25.12.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 2, Pages 988–994
DOI: https://doi.org/10.1007/BF02634157
Bibliographic databases:
Language: Russian
Citation: A. Yu. Kotov, “Remarks on geometric quantization of $R$-matrix type Poisson brackets”, TMF, 112:2 (1997), 241–248; Theoret. and Math. Phys., 112:2 (1997), 988–994
Citation in format AMSBIB
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\by A.~Yu.~Kotov
\paper Remarks on geometric quantization of $R$-matrix type Poisson brackets
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\yr 1997
\vol 112
\issue 2
\pages 241--248
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 2
\pages 988--994
\crossref{https://doi.org/10.1007/BF02634157}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YE83300003}
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  • https://www.mathnet.ru/eng/tmf/v112/i2/p241
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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