82,727 research outputs found
On Braided Linear Gr-categories
We provide explicit and unified formulae for the normalized 3-cocycles on
arbitrary finite abelian groups. As an application, we compute all the braided
monoidal structures on linear Gr-categories.Comment: 14 pages; typos correcte
Graded elementary quasi-Hopf algebras of tame representation type
The class of graded elementary quasi-Hopf algebras of tame type is
classified. Combining with our previous work [19], this completes the
trichotomy for such class of algebras according to their representation types.
In addition, new examples of genuine elementary quasi-Hopf algebras, and
accordingly finite pointed tensor categories, are provided.Comment: 20 page
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