Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra |
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Authors: | Marc Rosso |
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Affiliation: | (1) Centre de Mathématiques, Ecole Polytechnique, F-91 128 Palaiseau Cédex, France |
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Abstract: | Let be a complex simple Lie algebra. We show that whent is not a root of 1 all finite dimensional representations of the quantum analogUt are completely reducible, and we classify the irreducible ones in terms of highest weights. In particular, they can be seen as deformations of the representations of the (classical)U. |
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