On Braided Linear Gr-categories

Abstract

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.

14 pages; typos corrected

References in corpus (1)

• The braided monoidal structures on a class of linear Gr-categories

Cited by in corpus (6)

• Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
• Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$
• The octonions form an Azumaya algebra in certain braided linear Gr-categories
• Finite-dimensional quasi-Hopf algebras of Cartan type
• Quasi-Quantum Linear Spaces
• Graded elementary quasi-Hopf algebras of tame representation type