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Cyclic representations of q-boson algebra and their applications to quantum algebras and quantum superalgebras

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Il Nuovo Cimento B (1971-1996)

Summary

In this paper the representation theory of q-boson algebra in the non-generic case thatq is a root of unity is studied from a purely mathematical point of view. Emphasis is placed on its cyclic representations. Various cyclic representations of the q-boson algebra are thereby constructed in explicit form. Using them, we obtain the cyclic representations of quantum superalgebrasU qosp (1, 2),U qosp(1, 4) and quantum algebra (C 2)q through the q-deformed-boson realization method.

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Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York, 11794-3840, Stony Brook, NY, USA

    Chang-Pu Sun

  2. Physics Department, Northeast Normal University, 130024, Changchun, PRC

    Chang-Pu Sun

Authors
  1. Chang-Pu Sun
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Additional information

This work is supported by the Cha Chi Ming Fellowship through the CEEC at State University of New York at Stony Brook, and in part by the NFS of China through Northeast Normal University.

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Sun, CP. Cyclic representations of q-boson algebra and their applications to quantum algebras and quantum superalgebras. Nuov Cim B 108, 499–510 (1993). https://doi.org/10.1007/BF02742808

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  • DOI: https://doi.org/10.1007/BF02742808

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