Module categories over pointed Hopf algebras

Mathematics – Quantum Algebra

Scientific paper

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31 pages, typos and other errors corrected. Some improvements on Lemma 5.5 have been done. Section 8.2 was corrected

Scientific paper

We develop some techniques to the study of exact module categories over some
families of pointed finite-dimensional Hopf algebras. As an application we
classify exact module categories over the tensor category of representations of
the small quantum groups $u_q(\mathfrak{sl}_2)$.

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