On a class of nonstandard quantum algebras and their representations |
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Authors: | J Negro F J Herranz A Ballesteros |
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Institution: | 1. Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain 2. Departamento de Física, Universidad de Burgos Pza. Misael Ba?uelos, E-09001, Burgos, Spain
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Abstract: | The nonstandardU z sl(2, IR) quantum algebra is considered together with other nonstandard algebras sharing the same universalR-matrix as well as a fixed Hopf subalgebra. Some boson realizations for these nonstandard algebras are obtained which are later used in order to compute in a simplified way their (finite and infinite dimensional) representations. In the limit when the deformation parameterz vanishes these realizations turn into the well known (one or two-boson) Gelfand-Dyson realizations for the corresponding classical Lie algebras. |
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