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Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras

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Abstract

We introduceq-analogues of Clifford and Weyl algebras. Using these, we construct spinor and oscillator representations of quantum enveloping algebras of typeA N−1 ,B N ,C N ,D N andA (1)N−1 . Also we discuss the irreducibility and the unitarity of these representations.

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  1. Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, 464, Nagoya, Japan

    Takahiro Hayashi

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  1. Takahiro Hayashi
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Communicated by H. Araki

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Hayashi, T. Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras. Commun.Math. Phys. 127, 129–144 (1990). https://doi.org/10.1007/BF02096497

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