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Module categories over finite pointed tensor categories

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

paper · pdf · doi:10.48550/arxiv.1102.4882

32 pages. Accepted in Selecta Math NS. Typos and minor errors corrected

arxiv created 2011/09/09 · arxiv updated 2011/09/12

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.

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