Making non-trivially associated tensor categories from left coset representatives

Details Making non-trivially associated tensor categories from left coset representatives Making non-trivially associated tensor categories from left coset representatives

2000-02-21

arxiv.org/abs/math/0002166v1

Mathematics

Quantum Algebra

LaTeX, 41 pages with 7 figs, uses epsfig

Scientific paper

10.1023/A:1022892403736

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.

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