Tensor categories attached to double groupoids.

DOI10.1016/j.aim.2005.02.008zbMath1099.16016arXivmath/0408045OpenAlexW2036684497MaRDI QIDQ818053

Sonia Natale, Nicolás Andruskiewitsch

Publication date: 24 March 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408045

zbMATH Keywords

weak Hopf algebrastensor categoriesdouble groupoids

Mathematics Subject Classification ID

Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items

Weak crossed biproducts and weak projections. ⋮ Relative matched pairs of finite groups from depth two inclusions of von Neumann algebras to quantum groupoids ⋮ Quantum groupoids acting on semiprime algebras. ⋮ Double groupoids and homotopy 2-types ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems ⋮ The structure of double groupoids ⋮ Measured quantum groupoids associated with matched pairs of locally compact groupoids

Cites Work

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• Doubles of quasi-quantum groups
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• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• On fusion categories.
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace
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