On braided tensor categories of type BCD
| Venue: | J. reine angew. Math |
| Citations: | 7 - 0 self |
BibTeX
@ARTICLE{Tuba_onbraided,
author = {Imre Tuba and Hans Wenzl},
title = {On braided tensor categories of type BCD},
journal = {J. reine angew. Math},
year = {},
pages = {31--69}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
Abstract. We give a full classification of all braided semisimple tensor categories whose Grothendieck semiring is the one of Rep ` O(∞) ´ (formally), Rep ` O(N) ´ , Rep ` Sp(N) ´ or of one of its associated fusion categories. If the braiding is not symmetric, they are completely determined by the eigenvalues of a certain braiding morphism, and we determine precisely which values can occur in the various cases. If the category allows a symmetric braiding, it is essentially determined by the dimension of the object corresponding to the vector representation. 1.
