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arXiv 2009-01-27 0 views

Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to sl₂

Kondo, Hiroki · Saito, Yoshihisa

Original · EN

In this paper we study the tensor category structure of the module category of the restricted quantum enveloping algebra associated to sl₂. Indecomposable decomposition of all tensor products of modules over this algebra is completely determined in explicit formulas. As a by-product, we show that the module category of the restricted quantum enveloping algebra associated to sl₂ is not a braided tensor category.

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