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

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

2002-09-09

arxiv.org/abs/math/0209093v2

J. Alg. 277 (2004) 256-281

Mathematics

Category Theory

Some comments and references added. Final version, to appear in J. Alg. latex2e, ca. 25 p., requires diagrams.tex

Scientific paper

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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