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The q-boson realizations of the quantum groups Uq(B2) and Uq(C2) |
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| Authors: | Č Burdík O Navrátil |
| Institution: | 1. Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Hole?ovi?kách 2, 18000, Prahu 8, Czech Republic 2. Institute of Rock Structure and Mechanics, Czech Acad. Sci., V Hole?ov?kách 41, 18209, Praha 8, Czech Republic |
| Abstract: | We give explicit realization of formulae of canonical realization for the quantum enveloping algebrasU q (B 2)~U q (so(5)) andU q (C 2)~U q (sp(4)). In these formulae the generators of the algebra are expressed by means of 3 canonicalq-boson pairs and one auxiliary representation ofU q (gl(2)). |
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