Double quantum groups

DOI10.1006/jabr.2001.8834zbMath0988.16025OpenAlexW2069831859MaRDI QIDQ5945121

Daniela Hobst, Bodo Pareigis

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8834

zbMATH Keywords

Hopf modulesYetter-Drinfeld modulesDrinfeld doublesbraided monoidal categoriesDoi-Koppinen modulesentwined modulesentwining structuresquasitriangular Hopf algebras

Mathematics Subject Classification ID

Related Items

The sovereign structure on categories of entwined modules ⋮ Wreaths, mixed wreaths and twisted coactions ⋮ Frobenius and separable functors for the category of entwined modules over cowreaths. I: general theory ⋮ Monads and distributive laws for Rota-Baxter and differential algebras ⋮ Algebras versus coalgebras ⋮ Entwined modules over representations of categories ⋮ BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS ⋮ Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra. ⋮ Actions of monoidal categories and generalized Hopf smash products. ⋮ New Turaev Braided Group Categories Over Entwining Structures ⋮ Ribbon entwining datum ⋮ Maschke functors, semisimple functors and separable functors of the second kind: applications

Cites Work

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• Biinvertible actions of Hopf algebras
• Making the category of Doi-Hopf modules into a braided monoidal category
• A non-commutative non-cocommutative Hopf algebra in nature
• The geometry of tensor calculus. I
• Algebraic aspects of the quantum Yang-Baxter equation
• Unifying Hopf modules
• Crossed modules and Doi-Hopf modules
• Categories of representations of coalgebroids
• Doi-Koppinen Hopf modules versus entwined modules
• The Brauer group of dimodule algebras
• Reconstruction of hidden symmetries
• Quantum groups and representations of monoidal categories