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Remarks on a representation of GL q (2;C) in terms of C (n)4

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Czechoslovak Journal of Physics Aims and scope

Abstract

The non-commuting matrix elements of matrices from the quantum group GL q(2;C) with q = ω being the n-th root of unity are given a representation as operators in Hilbert space with help of C (n)4 generalized Clifford algebra generators.

The case of q ∈ C, |q| = 1 is treated parallelly.

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Authors and Affiliations

  1. Institute of Physics, Białystok University, Computer Science of Laboratory, ul Sosnowa. 64, Białystok, PL – 15-887, Poland

    A.K. Kwaśniewski

  2. College of Applied Mathematics and Computer Science, Czysta 11, Białystok, PL – 15-463, Poland

    A.K. Kwaśniewski

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  1. A.K. Kwaśniewski
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Kwaśniewski, A. Remarks on a representation of GL q (2;C) in terms of C (n)4 . Czechoslovak Journal of Physics 50, 123–127 (2000). https://doi.org/10.1023/A:1022837401591

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  • DOI: https://doi.org/10.1023/A:1022837401591

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