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A superalgebra morphism of U q [osp(1/2N)] onto the deformed oscillator superalgebra W q (N) |
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| Authors: | T D Palev |
| Institution: | (1) Applied Mathematics and Computer Science, University of Ghent, B-9000 Ghent, Belgium;(2) International Centre for Theoretical Physics, 34100 Trieste, Italy;(3) Present address: Institute for Nuclear Research and Nuclear Energy, 1784 Sofia, Bulgaria |
| Abstract: | We prove that the deformed oscillator superalgebra W q (n) (which in the Fock representation is generated essentially byn pairs ofq-bosons) is a factor algebra of the quantized universal enveloping algebra U q osp(1/2n)]. We write down aq-analog of the Cartan-Weyl basis for the deformed osp(1/2n) and also give an oscillator realization of all Cartan-Weyl generators. |
| Keywords: | 81R50 16W30 17B37 |
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