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On a possible algebra morphism of U q [osp(1/2n)] onto the deformed oscillator algebra W q (n)

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Abstract

We formulate a conjecture stating that the algebra ofn pairs of deformed Bose creation and annihilation operators is a factor algebra of U q [osp(1/2n)], considered as a Hopf algebra, and prove it for then = 2 case. To this end, we show that for any value ofq, U q [osp(1/4)] can be viewed as a superalgebra freely generated by two pairsB ±1 ,B ±2 of deformed para-Bose operators. We write down all Hopf algebra relations, an analogue of the Cartan-Weyl basis, the ‘commutation’ relations between the generators and a basis in U q [osp(1/2n)] entirely in terms ofB ±1 ,B ±2 .

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Author notes

  1. T. D. Palev & N. I. Stoilova

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

Authors and Affiliations

  1. International Centre for Theoretical Physics, 34100, Trieste, Italy

    T. D. Palev & N. I. Stoilova

Authors
  1. T. D. Palev
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  2. N. I. Stoilova
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Palev, T.D., Stoilova, N.I. On a possible algebra morphism of U q [osp(1/2n)] onto the deformed oscillator algebra W q (n). Lett Math Phys 28, 187–193 (1993). https://doi.org/10.1007/BF00745150

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  • DOI: https://doi.org/10.1007/BF00745150

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