Representations of the category of modules over pointed Hopf algebras over S3 and S4

Abstract

We classify exact indecomposable module categories over the representation category of all non-trivial Hopf algebras with coradical S3 and S4. 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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