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The q-boson realizations of the quantum groups Uq(B2) and Uq(C2)

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Abstract

We give explicit realization of formulae of canonical realization for the quantum enveloping algebrasU q (B 2)~U q (so(5)) andU q (C 2)~U q (sp(4)). In these formulae the generators of the algebra are expressed by means of 3 canonicalq-boson pairs and one auxiliary representation ofU q (gl(2)).

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Authors and Affiliations

  1. Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 18000, Prahu 8, Czech Republic

    Č. Burdík

  2. Institute of Rock Structure and Mechanics, Czech Acad. Sci., V Holešovčkách 41, 18209, Praha 8, Czech Republic

    O. Navrátil

Authors
  1. Č. Burdík
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  2. O. Navrátil
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Burdík, Č., Navrátil, O. The q-boson realizations of the quantum groups Uq(B2) and Uq(C2). Czech J Phys 44, 1001–1008 (1994). https://doi.org/10.1007/BF01690452

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  • DOI: https://doi.org/10.1007/BF01690452

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