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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 163–172 (Mi tmf1638)  
Representations of the compact quantum group $SU_q(2)$ 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 $SU_q(2)$. The generalization to the case of the quantum group $SU_q(n)$ 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
Bibliographic databases:
Language: Russian
Citation: G. E. Arutyunov, “Representations of the compact quantum group $SU_q(2)$ 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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\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 2
\pages 921--927
\crossref{https://doi.org/10.1007/BF01016754}
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