Making non-trivially associated tensor categories from left coset representatives
Quantum Algebra
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.math/0002166,
title = {Making non-trivially associated tensor categories from left coset representatives},
author = {E. J. Beggs},
journal= {arXiv preprint arXiv:math/0002166},
year = {2009}
}
Comments
LaTeX, 41 pages with 7 figs, uses epsfig