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

Agustín García Iglesias and Martín Mombelli

Vol. 252 (2011), No. 2, 343–378

DOI: 10.2140/pjm.2011.252.343

Abstract

We classify exact indecomposable module categories over the representation category of all nontrivial 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.

Keywords

tensor categories, module categories, Hopf algebras

Mathematical Subject Classification 2010

Primary: 16W30

Secondary: 18D10

Milestones

Received: 8 November 2010

Revised: 30 January 2011

Accepted: 31 January 2011

Published: 29 October 2011