Module categories over equivariantized tensor categories

2014/05/30 by Mombelli, Martín, Natale, Sonia
#16T05 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1405.7896

Abstract

For a finite tensor category \mathcal C and a Hopf monad T:\mathcal C→ \mathcal C satisfying certain conditions we describe exact indecomposable left \mathcal C^T-module categories in terms of left \mathcal C-module categories and some extra data. We also give a 2-categorical interpretation of the process of equivariantization of module categories.

Related

• Reconstruction of module categories in the infinite and non-rigid settings
• Module categories over finite pointed tensor categories
• Finite tensor categories
• Exact sequences of tensor categories
• Equivalence classes of exact module categories over graded tensor\n categories