Highest-weight vectors in tensor products of Verma modules for U_q(sl_2)
Keywords:
Clebsch-Gordan coefficients, Verma modules, highest-weight vectors, tensor product decomposition
Abstract
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.Downloads
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Published
2018-10-01
Issue
Section
Research Articles
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