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

2002/09/30 by Michael Mueger · 2 citations
Mathematics · #math.CT #msc:18D10 #msc:18D35

paper · pdf

published as J. Alg. 277 (2004) 256-281 · Some comments and references added. Final version, to appear in J. Alg. latex2e, ca. 25 p., requires diagrams.tex

arxiv created 2004/02/23 · arxiv updated 2009/11/30

Abstract

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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