Bicrossproduct Hopf quasigroups

zbMath1224.81014arXiv0911.3114MaRDI QIDQ3083862

J. Klim, Shahn Majid

Publication date: 23 March 2011

Full work available at URL: https://arxiv.org/abs/0911.3114

zbMATH Keywords

quantum groupmonoidal categoryfinite groupoctonionscosetquasiHopf algebra\(\operatorname {IP}\) loop

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (12)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ A characterization of weak Hopf (co) quasigroups ⋮ Weak quasi-entwining structures ⋮ Cleft and Galois extensions associated with a weak Hopf quasigroup ⋮ Algebraic aspects of boundaries in the Kitaev quantum double model ⋮ Algebraic properties of quantum quasigroups ⋮ MONOIDAL FUNCTORS AND EXACT SEQUENCES OF GROUPS FOR HOPF QUASIGROUPS ⋮ Projections and Yetter-Drinfel'd modules over Hopf (co)quasigroups ⋮ Multiplication alteration by two-cocycles: the non-associative version ⋮ Fundamental theorems of Doi-Hopf modules in a nonassociative setting ⋮ Quantum quasigroups and the quantum Yang-Baxter equation ⋮ One-sided Hopf algebras and quantum quasigroups

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