Quantum groups and ribbon \(G\)-categories
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Publication:1861501
DOI10.1016/S0022-4049(02)00191-3zbMath1035.57006arXivmath/0103017MaRDI QIDQ1861501
Vladimir G. Turaev, Le Ty Kuok Tkhang
Publication date: 9 March 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0103017
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Related Items (6)
Galois extensions of braided tensor categories and braided crossed G-categories ⋮ Double construction for crossed Hopf coalgebras. ⋮ The crossed structure of Hopf bimodules ⋮ Geometric construction of spinors in orthogonal modular categories ⋮ On a family of non-unitarizable ribbon categories ⋮ A spin decomposition of the verlinde formulas for type A modular categories
Cites Work
- The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
- Jones-Witten invariants for nonsimply connected Lie groups and the geometry of the Weyl alcove
- Examples of tensor categories
- Hecke algebras, modular categories and 3-manifolds quantum invariants
- Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
- Fusion categories arising from semisimple Lie algebras
- Premodular categories, modularisations and invariants of 3-manifolds
- Integrality and symmetry of quantum link invariants
- 𝐶* tensor categories from quantum groups
- On an inner product in modular tensor categories
- Introduction to quantum groups
- Quantum invariants of knots and 3-manifolds
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