Quasi-quantum groups obtained from tensor braided Hopf algebras

DOI10.1007/S10801-019-00907-5zbMath1478.16020OpenAlexW2980981160MaRDI QIDQ2021405

Daniel Bulacu

Publication date: 27 April 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-019-00907-5

zbMATH Keywords

projectionbraided categorybiproductbraided tensor Hopf algebraquantum shuffle quasi-Hopf algebra

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

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• The structure of Hopf algebras with a projection
• Two-sided two-cosided Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras.
• Quantum double for quasi-Hopf algebras
• Quantum groups and quantum shuffles
• Doubles of quasi-quantum groups
• Braided tensor categories
• Hopf modules and Yetter-Drinfel'd modules
• Hopf (bi-)modules and crossed modules in braided monoidal categories
• Integrals for (dual) quasi-Hopf algebras. Applications
• Basic quasi-Hopf algebras of dimension \(n^3\).
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Radford's biproduct for quasi-Hopf algebras and bosonization
• Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras
• The braided monoidal structures on the category of vector spaces graded by the Klein group
• A structure theorem for quasi-Hopf comodule algebras
• Bialgebras of type one^*
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Hopf modules and the double of a quasi-Hopf algebra
• Quasitriangular and Ribbon Quasi-Hopf Algebras
• Quasi-hopf algebra actions and smash products
• Tensor Categories
• Braid Groups

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