Projections and Yetter-Drinfel'd modules over Hopf (co)quasigroups

DOI10.1016/j.jalgebra.2015.07.007zbMath1328.18008OpenAlexW1153543033MaRDI QIDQ497711

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

Publication date: 25 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.07.007

zbMATH Keywords

monoidal categoryYetter-Drinfeld moduleHopf quasigroup

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05) General theory of nonassociative rings and algebras (17A01)

Related Items (15)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ A new approach to Rota–Baxter coalgebras ⋮ A characterization of weak Hopf (co) quasigroups ⋮ Weak quasi-entwining structures ⋮ Functors for long dimodules and Yetter-Drinfeld modules in a weak setting ⋮ Generalized Yetter–Drinfeld (quasi)modules and Yetter–Drinfeld–Long bi(quasi)modules for Hopf quasigroups ⋮ A new approach to braided monoidal categories ⋮ Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups ⋮ MONOIDAL FUNCTORS AND EXACT SEQUENCES OF GROUPS FOR HOPF QUASIGROUPS ⋮ Double centralizer properties related to (co)triangular Hopf coquasigroups ⋮ Multiplication alteration by two-cocycles: the non-associative version ⋮ Fundamental theorems of Doi-Hopf modules in a nonassociative setting ⋮ Hopf quasicomodules and Yetter-Drinfel’d quasicomodules ⋮ Faithfully flat descent for magmas ⋮ Yetter–Drinfel’d modules over weak Hopf quasigroups

Cites Work

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• The antipode and the (co)invariants of a finite Hopf (co)quasigroup
• The structure of Hopf algebras with a projection
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• Weak Hopf algebras and weak Yang-Baxter operators.
• Hopf quasigroups and the algebraic 7-sphere
• Cross products by braided groups and bosonization
• Braided tensor categories
• Radford's biproduct for quasi-Hopf algebras and bosonization
• \(R\)-smash products of Hopf quasigroups.
• Integrals for braided Hopf algebras
• Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups
• Actions of Hopf Quasigroups
• Hopf modules and the fundamental theorem for Hopf (co)quasigroups
• Bicrossproduct Hopf quasigroups
• Contributions to the Theory of Loops

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