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q-Oscillator realizations of the quantum superalgebrassl q (m, n) andosp q (m, 2n)

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Abstract

Realizations of the quantum superalgebras corresponding to theA(m, n), B(m, n), C(n+1), andD(m, n) series are given in terms of the creation and annihilation operators ofq-deformed Bose and Fermi oscillators.

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Author notes

  1. Vyacheslav P. Spiridonov

    Present address: Institute for Nuclear Research of the USSR Academy of Sciences, 60th October Anniversary pr. 7a, SU-117312, Moscow, USSR

  2. Luc Vinet

    Present address: Laboratoire de Physique Nucléaire, Université de Montréal, H3C 3J7, Montréal, Canada

Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11, I-34014, Trieste, Italy

    Roberto Floreanini

  2. California Institute of Technology, 91125, Pasadena, CA, USA

    Vyacheslav P. Spiridonov

  3. Department of Physics, University of California, 405 Hilgard Avenue, 90024, Los Angeles, CA, USA

    Luc Vinet

Authors
  1. Roberto Floreanini
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  2. Vyacheslav P. Spiridonov
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  3. Luc Vinet
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Communicated by N. Yu. Reshetikhin

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Floreanini, R., Spiridonov, V.P. & Vinet, L. q-Oscillator realizations of the quantum superalgebrassl q (m, n) andosp q (m, 2n) . Commun.Math. Phys. 137, 149–160 (1991). https://doi.org/10.1007/BF02099120

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  • DOI: https://doi.org/10.1007/BF02099120

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