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

Abstract

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.

33 pages. An incompletness in Theorem 4.1 was found and corrected. Theorem 6.6 was corrected and accordingly Theorems 7.3 and 7.8 were corrected

References in corpus (3)

• From conformal embeddings to quantum symmetries: an exceptional SU(4) example
• Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid
• Right coideal subalgebras in U^+_q(so_{2n+1})

Cited by in corpus (1)

• Module categories over finite pointed tensor categories