Module categories over finite pointed tensor categories

2011/02/24 by Galindo, César, Mombelli, Martín · 1 citation
#Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1102.4882

Abstract

We study exact module categories over the representation categories of finite-dimensional quasi-Hopf algebras. As a consequence we classify exact module categories over some families of pointed tensor categories with cyclic group of invertible objets of order p, where p is a prime number.

Cited by

• Pivotal Brauer-Picard groupoids and graded extensions

Related

• Module categories over pointed Hopf algebras
• Finite tensor categories
• Equivalence classes of exact module categories over graded tensor\n categories
• Reconstruction of module categories in the infinite and non-rigid settings
• Pointed Hopf algebras revisited, with a view from tensor categories