Hopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2
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Publication:3158394
DOI10.1081/AGB-200034171zbMath1080.16036arXivmath/0305136MaRDI QIDQ3158394
Böhm, Gabriella, Szlachányi, Kornél
Publication date: 25 January 2005
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0305136
direct sumsintegralsdirect summandsHopf algebroidsabstract D2 Frobenius extensionsadditive bicategoriesrings of 2-cells
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Related Items (14)
The double algebraic view of finite quantum groupoids. ⋮ Integral theory for Hopf algebroids. ⋮ Multiplier Hopf algebroids: Basic theory and examples ⋮ Hopf algebroids with balancing subalgebra ⋮ Remarks on simple interpolation between Jordanian twists ⋮ Hopf algebroids from non-commutative bundles ⋮ Scalar extension Hopf algebroids ⋮ Twisted bialgebroids versus bialgebroids from a Drinfeld twist ⋮ Some exact sequences associated with adjunctions in bicategories. Applications ⋮ Hopf algebroid twists for deformation quantization of linear Poisson structures ⋮ Lie algebra type noncommutative phase spaces are Hopf algebroids ⋮ Finitary Galois extensions over noncommutative bases. ⋮ Gauge groups and bialgebroids ⋮ Finitely semisimple spherical categories and modular categories are self-dual.
Cites Work
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- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
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- Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
- A characterization of depth 2 subfactors of II\(_1\) factors
- A COMMENT ON JONES INCLUSIONS WITH INFINITE INDEX
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- Quantum groupoids
- Group symmetry in tensor categories and duality for orbifolds
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