On Galois extensions of braided tensor categories, mapping class group representations and simple current extensions
by
Michael Müger
| Venue: | In preparation |
| Citations: | 8 - 3 self |
BibTeX
@INPROCEEDINGS{Müger_ongalois,
author = {Michael Müger},
title = {On Galois extensions of braided tensor categories, mapping class group representations and simple current extensions},
booktitle = {In preparation},
year = {}
}
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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 ⋊ S are studied in detail, and we determine for which g ∈ G non-trivial objects of grade g exist in C ⋊ S. 1
