2017/03/16 by Shlomo Gelaki, Gelaki, Shlomo, Daniel Sebbag +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1703.05787
openalex publication_date 2017/03/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Let W be a finite dimensional purely odd supervector space over ℂ, and let \sRep(W) be the finite symmetric tensor category of finite dimensional superrepresentations of the finite supergroup W. We show that the set of equivalence classes of finite non-degenerate braided tensor categories \C containing \sRep(W) as a Lagrangian subcategory is a torsor over the cyclic group ℤ/16ℤ. In particular, we obtain that there are 8 non-equivalent such braided tensor categories \C which are integral and 8 which are non-integral.