Quantization of U
q
[so(2n + 1)] with deformed para-Fermi operators |
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| Authors: | T D Palev |
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| Institution: | (1) Arnold Sommerfeld Institute for Mathematical Physics, Technical University of Clausthal, 3392 Clausthal-Zellerfeld, Germany;(2) Present address: Institute for Nuclear Research and Nuclear Energy, 1784 Sofia, Bulgaria |
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| Abstract: | The observation thatn pairs of para-Fermi (pF) operators generate the universal enveloping algebra of the orthogonal Lie algebra so(2n + 1) is used in order to define deformed pF operators. It is shown that these operators are an alternative to the Chevalley generators. With this background U
q
so(2n + 1)] and its  Cartan-Weyl generators are written down entirely in terms of deformed para-Fermi operators. |
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| Keywords: | 81R50 16W30 17B37 |
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