Abstract
Let\(G\) be a complex simple Lie algebra. We show that whent is not a root of 1 all finite dimensional representations of the quantum analogU t \(G\) 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 \(G\).
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Communicated by A. Connes
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Rosso, M. Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra. Commun.Math. Phys. 117, 581–593 (1988). https://doi.org/10.1007/BF01218386
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DOI: https://doi.org/10.1007/BF01218386