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

2010/06/09 by Iglesias, Agustín García, Mombelli, Martín · 1 citation
#16W30 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1006.1857

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.

Cited by

• Morita invariants of quasitriangular comodule algebras
• Hopf 2-cocycles of type A₂

Related

• Module categories over finite pointed tensor categories
• Module categories over pointed Hopf algebras
• On the representations of a family of pointed Hopf algebras
• Partial Representations of Hopf Algebras
• Pointed Hopf algebras revisited, with a view from tensor categories