Cross product bialgebras. I

DOI10.1006/jabr.1999.7896zbMath0933.16041arXivmath/9802028OpenAlexW2052333533MaRDI QIDQ1305439

Bernhard Drabant, Yu. N. Bespalov

Publication date: 19 January 2000

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

Full work available at URL: https://arxiv.org/abs/math/9802028

zbMATH Keywords

Hopf algebrasYetter-Drinfeld modulesbicrossed productsbraided categoriesHopf bimodules

Mathematics Subject Classification ID

Related Items (22)

A bicategorical approach to actions of monoidal categories ⋮ Extensions of locally compact quantum groups and the bicrossed product construction. ⋮ Brzeziński's Crossed Products and Braided Hopf Crossed Products ⋮ On braided double-biproduct Hopf algebras ⋮ Weak crossed biproducts and weak projections. ⋮ Bicocycle double cross constructions ⋮ Braided anti-flexible bialgebras ⋮ Comodule algebras and 2-cocycles over the (Braided) Drinfeld double ⋮ Weak projections onto a braided Hopf algebra. ⋮ Weak Hopf algebras and weak Yang-Baxter operators. ⋮ DOUBLE BICROSSPRODUCTS IN BRAIDED TENSOR CATEGORIES ⋮ Cross product bialgebras. II ⋮ Weak \(C\)-cleft extensions, weak entwining structures and weak Hopf algebras. ⋮ Unnamed Item ⋮ Preunits and weak crossed products ⋮ Galois and cleft monoidal cowreaths. Applications ⋮ Equivalences for Weak Crossed Products ⋮ Crossed Products for Weak Hopf Algebras ⋮ Cleft extensions in braided categories ⋮ The structure of bialgebra with a Hopf module. ⋮ Hopf bimodules, coquasibialgebras, and an exact sequence of Kac ⋮ Paired wreaths: 2-categorical background of a class of cross products

Cites Work

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• Double-bosonization of braided groups and the construction of U_q(g)
• Crossed products by a coalgebra
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• Quantum invariants of knots and 3-manifolds
• Cross product bialgebras. II

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