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Galois extensions of braided tensor categories and braided crossed G-categories

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arxiv math/0209093 v2 pith:Y3GMHOXA submitted 2002-09-09 math.CT

Michael Mueger This is my paper · ORCID
classification math.CT
keywords braidedextensionsgaloiscategoriescrossedg-categoriesrtimestensor
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We show that the author's notion of Galois extensions of braided tensor categories [22], see also [3], gives rise to braided crossed G-categories, recently introduced for the purposes of 3-manifold topology [31]. The Galois extensions C \rtimes S are studied in detail, and we determine for which g in G non-trivial objects of grade g exist in C \rtimes S.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On \'Etale Algebras and Bosonic Fusion 2-Categories

    math.CT 2024-11 conditional novelty 7.0 of 10

    Connected and Lagrangian étale algebras in Z_1(2Vect^π_G) are classified by subgroups, braided fusion categories with group actions, and 4-group morphism data; this yields a parametrization of bosonic fusion 2-categories.

  2. Generalised Orbifolds and G-equivariantisation

    math.QA 2025-06 accept novelty 6.0 of 10

    Generalised orbifold categories of G-crossed ribbon categories are ribbon equivalent to G-equivariantisations, via an explicit functor.

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