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Fusion algebra at a rational level and cohomology of nilpotent subalgebras of sl_2

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arxiv hep-th/9310004 v1 pith:ITGA6PXF submitted 1993-10-01 hep-th math.QA

classification hep-thmath.QA
keywords algebracohomologicalfusionlevelrationaladmissiblebyproductcalculate
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abstract

We define and calculate the fusion algebra of WZW model at a rational level by cohomological methods. As a byproduct we obtain a cohomological characterization of admissible representations of $\widehat{\gtsl}_{2}$.

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