q-Deformed orthogonal and pseudo-orthogonal algebras and their representations |
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Authors: | A M Gavrilik A U Klimyk |
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Institution: | (1) Institute for Theoretical Physics, 252130 Kiev 130, USSR |
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Abstract: | Deformed orthogonal and pseudo-orthogonal Lie algebras are constructed which differ from deformations of Lie algebras in terms of Cartan subalgebra and root vectors and which make it possible to construct representations by operators acting according to Gel'fand-Tsetlin-type formulas. Unitary representations of the q-deformed algebras U
q
(so
n,1) are found. |
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Keywords: | 16A58 16A64 17B10 81D99 |
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