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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 163–172 (Mi tmf1638)  
Representations of the compact quantum group SUq(2) and geometrical quantization

G. E. Arutyunov

Steklov Mathematical Institute, Russian Academy of Sciences
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Abstract: The Souriau–Kostant method of geometrical quantization is used to construct infinite-dimensional irreducible unitary representations of the algebra of functions of the compact quantum group SUq(2). The generalization to the case of the quantum group SUq(n) is discussed.
Received: 13.12.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 2, Pages 921–927
DOI: https://doi.org/10.1007/BF01016754
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Language: Russian
Citation: G. E. Arutyunov, “Representations of the compact quantum group SUq(2) and geometrical quantization”, TMF, 100:2 (1994), 163–172; Theoret. and Math. Phys., 100:2 (1994), 921–927
Citation in format AMSBIB
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\by G.~E.~Arutyunov
\paper Representations of the compact quantum group $SU_q(2)$ and geometrical quantization
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\yr 1994
\vol 100
\issue 2
\pages 163--172
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311190}
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\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 2
\pages 921--927
\crossref{https://doi.org/10.1007/BF01016754}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QH51400001}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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