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arxiv: q-alg/9412012 · v1 · submitted 1994-12-22 · q-alg · alg-geom· hep-th· math.AG· math.QA

Highest Weight Representations of Quantum Current Algebras

classification q-alg alg-geomhep-thmath.AGmath.QA
keywords highestweightalgebrasq-deformedrepresentationsalgebracalculatedcompact
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We study the highest weight and continuous tensor product representations of q-deformed Lie algebras through the mappings of a manifold into a locally compact group. As an example the highest weight representation of the q-deformed algebra $sl_q(2,\Cb)$ is calculated in detail.

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