On categories associated to a Quasi-Hopf algebra

DOI10.1080/00927872.2016.1175449zbMath1364.18004arXiv1402.1393OpenAlexW2248605881MaRDI QIDQ2976189

Štefan Sakáloš

Publication date: 28 April 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1393

zbMATH Keywords

quasi-Hopf algebrasclosed monoidal categoryHopf bimodulesDrinfeld center of a monoidal category

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (3)

Anti-Yetter-Drinfeld modules for quasi-Hopf algebras ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids

Cites Work

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• Quantization of Lie bialgebras. II, III
• Doubles of quasi-quantum groups
• Radford's biproduct for quasi-Hopf algebras and bosonization
• On quantization of quasi-Lie bialgebras
• A generalization of the functorial calculus
• Fusion rules and boundary conditions in thec= 0 triplet model
• Quantum traces and quantum dimensions for quasi-Hopf algebras
• Quasi-hopf algebra actions and smash products

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