Making non-trivially associated tensor categories from left coset representatives
arXiv:math/0002166 · doi:10.1023/A:1022892403736
Abstract
The paper begins by giving an algebraic structure on a set of coset representatives for the left action of a subgroup on a group. From this we construct a non-trivially associated tensor category. Also a double construction is given, and this allows the construction of a non-trivially associated braided tensor category. In this category we explicitly reconstruct a braided Hopf algebra, whose representations comprise the category itself.
LaTeX, 41 pages with 7 figs, uses epsfig