Yetter-Drinfeld modules over weak braided Hopf monoids and center categories

DOI10.1007/s10114-014-3240-2zbMath1294.57021OpenAlexW2401948158MaRDI QIDQ2452404

J. N. Alonso Álvarez, C. Soneira Calvo, Ramón González Rodríguez

Publication date: 3 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3240-2

zbMATH Keywords

Yetter-Drinfeld modulecenter categoryweak braided Hopf monoid

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25)

Cites Work

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• Hopf monads on monoidal categories
• Projections of weak braided Hopf algebras.
• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
• Yetter-Drinfeld categories associated with a weak braided Hopf algebra.
• Tortile Yang-Baxter operators in tensor categories
• Weak Hopf algebras and weak Yang-Baxter operators.
• Weak Hopf monoids in braided monoidal categories.
• Braided tensor categories
• The center construction for weak Hopf algebras
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• WEAK BRAIDED BIALGEBRAS AND WEAK ENTWINING STRUCTURES
• The Monoidal Category of Yetter-Drinfeld Modules over a Weak Braided Hopf Algebra
• Quantum groups and representations of monoidal categories
• Weak braided Hopf algebras
• Doi-hopf modules over weak hopf algebras
• The monoidal center construction and bimodules

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