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Factorization of simple modules for certain pointed Hopf algebras

Mariana Pereira
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Abstract

We study the representations of two types of pointed Hopf algebras: restricted two-parameter quantum groups, and the Drinfel'd doubles of rank one pointed Hopf algebras of nilpotent type. We study, in particular, under what conditions a simple module can be factored as the tensor product of a one dimensional module with a module that is naturally a module for the quotient by central group-like elements.

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Mariana Pereira. 2007-04-08. Factorization of simple modules for certain pointed Hopf algebras. https://arxiv.org/abs/math/0702614

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