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

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 alte...

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Bibliographic Details
Main Authors: Elizabeth Creath, Dijana Jakelic
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/34628