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Quantization of U q [so(2n + 1)] with deformed para-Fermi operators

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Abstract

The observation thatn pairs of para-Fermi (pF) operators generate the universal enveloping algebra of the orthogonal Lie algebra so(2n + 1) is used in order to define deformed pF operators. It is shown that these operators are an alternative to the Chevalley generators. With this background U q [so(2n + 1)] and its ‘Cartan-Weyl’ generators are written down entirely in terms of deformed para-Fermi operators.

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Author notes

  1. T. D. Palev

    Present address: Institute for Nuclear Research and Nuclear Energy, 1784, Sofia, Bulgaria

Authors and Affiliations

  1. Arnold Sommerfeld Institute for Mathematical Physics, Technical University of Clausthal, 3392, Clausthal-Zellerfeld, Germany

    T. D. Palev

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  1. T. D. Palev
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Palev, T.D. Quantization of U q [so(2n + 1)] with deformed para-Fermi operators. Lett Math Phys 31, 151–157 (1994). https://doi.org/10.1007/BF00750149

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  • DOI: https://doi.org/10.1007/BF00750149

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