Galois extensions of braided tensor categories and braided crossed G-categories
Abstract
Description
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.
Some comments and references added. Final version, to appear in J. Alg. latex2e, ca. 25 p., requires diagrams.tex
Some comments and references added. Final version, to appear in J. Alg. latex2e, ca. 25 p., requires diagrams.tex