Highest-weight vectors in tensor products of Verma modules for U_q(sl_2)
Résumé
We obtain an explicit basis for the subspace spanned by highest-weight vectors in a tensor product of two highest-weight modules for the quantized universal enveloping algebra of sl_2. The structure constants provide a generalization of the Clebsh-Gordan coefficients. As a byproduct, we give an alternative proof for the decomposition of these tensor products as direct sums of indecomposable modules and supply generators for all highest weight summands.Téléchargements
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Publiée
2018-10-01
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Copyright (c) 2017 Boletim da Sociedade Paranaense de Matemática

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