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Representations of *-algebras and many-dimensional dynamical systems

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Abstract

The procedure developed earlier for investigation of representations of *-algebras is generalized to a wider class of operator relations. In particular, the developed technique is used for description of all irreducible representations of a nonstandard three-dimensional quantum sphere.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. L. Ostrovskii & L. B. Turovskaya

Authors
  1. V. L. Ostrovskii
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  2. L. B. Turovskaya
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 488–497, April, 1995.

The authors express their deep gratitude to Yu. S. Samoilenko for fruitful discussions and helpful remarks.

This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology and the International Science Foundation, grant No. U6D000.

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Ostrovskii, V.L., Turovskaya, L.B. Representations of *-algebras and many-dimensional dynamical systems. Ukr Math J 47, 567–577 (1995). https://doi.org/10.1007/BF01056042

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