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Representations of the compact quantum groupSU q(2) and geometrical quantization

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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 groupSU q(2). The generalization to the case of the quantum groupSU q (n) is discussed.

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Authors
  1. G. É. Arutyunov
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Additional information

V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 2, pp. 163–172, August, 1994.

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Arutyunov, G.É. Representations of the compact quantum groupSU q(2) and geometrical quantization. Theor Math Phys 100, 921–927 (1994). https://doi.org/10.1007/BF01016754

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