Representations of the category of modules over pointed Hopf algebras over S_3 and S_4

Mathematics – Quantum Algebra

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33 pages. An incompletness in Theorem 4.1 was found and corrected. Theorem 6.6 was corrected and accordingly Theorems 7.3 and

Scientific paper

We classify exact indecomposable module categories over the representation
category of all non-trivial Hopf algebras with coradical S_3 and S_4. As a
byproduct, we compute all its Hopf-Galois extensions and we show that these
Hopf algebras are cocycle deformations of their graded versions.

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