Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple lie algebra

1988
13 pages
Published in:
  • Commun.Math.Phys. 117 (1988) 581-593

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Abstract: (Springer)
LetGG be a complex simple Lie algebra. We show that whent is not a root of 1 all finite dimensional representations of the quantum analogUtGG 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)UGG.
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