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The paper begins by giving an algebraic structure on a set of cosetrepresentatives for the left action of a subgroup on a group. From this weconstruct a non-trivially associated tensor category. Also a doubleconstruction is given, and this allows the construction of a non-triviallyassociated braided tensor category. In this category we explicitly reconstructa braided Hopf algebra, whose representations comprise the category itself.Comment: LaTeX, 41 pages with 7 figs, uses epsfi

Making non-trivially associated tensor categories from left coset representatives