Highest-weight vectors in tensor products of Verma modules for U_q(sl_2)

  • Elizabeth Creath University of North Carolina Wilmington
  • Dijana Jakelic University of North Carolina Wilmington

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.

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Bibliographies de l'auteur

Elizabeth Creath, University of North Carolina Wilmington
Department of Mathematics and Statistics
Dijana Jakelic, University of North Carolina Wilmington

Department of Mathematics and Statistics

Professor

Publiée
2018-10-01
Rubrique
Articles