Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz"
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Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", 1984, Volume 22, Pages 37–58 (Mi intm68)  
Quantization and the orbit method

V. A. Ginzburg
Full-text PDF (1894 kB)
Abstract: A survey is given of the method of orbits which makes it possible to construct irreducible unitary representations of an arbitrary Lie group proceeding from mechanical considerations. After a brief introduction to symplectic geometry, a construction of a representation associated with an orbit of a group in the dual space of its Lie algebra is given. Various generalizations of this construction are discussed.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 6, Pages 659–672
DOI: https://doi.org/10.1007/BF01085503
Bibliographic databases:
UDC: 517.986.4+517.958
Language: Russian
Citation: V. A. Ginzburg, “Quantization and the orbit method”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 22, VINITI, Moscow, 1984, 37–58; J. Soviet Math., 36:6 (1987), 659–672
Citation in format AMSBIB
\Bibitem{Gin84}
\by V.~A.~Ginzburg
\paper Quantization and the orbit method
\serial Itogi Nauki i Tekhn. Ser. Mat. Anal.
\yr 1984
\vol 22
\pages 37--58
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intm68}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=780560}
\zmath{https://zbmath.org/?q=an:0616.58019}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 6
\pages 659--672
\crossref{https://doi.org/10.1007/BF01085503}
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