Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups

DOI10.1080/00927872.2013.806520zbMath1308.16026OpenAlexW2057020375MaRDI QIDQ2876278

Xiaoli Fang, Blass Torrecillas Jover

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.806520

zbMATH Keywords

antipodesDrinfeld doublestwisted smash productsL-R smash productsHopf pairingsHopf quasigroups

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (5)

\(\ast\)-Lie-Jordan-type maps on \(C^\ast\)-algebras ⋮ Generalized Yetter–Drinfeld (quasi)modules and Yetter–Drinfeld–Long bi(quasi)modules 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

Cites Work

• The antipode and the (co)invariants of a finite Hopf (co)quasigroup
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• L-R-smash product for (quasi-)Hopf algebras.
• Hopf quasigroups and the algebraic 7-sphere
• Semi-direct products of Hopf algebras
• \(R\)-smash products of Hopf quasigroups.
• Minimal quasitriangular Hopf algebras
• L-R smash products for bimodule algebras.
• Actions of Hopf Quasigroups
• On twisted smash products for bimodule algebras and the drinfeld double
• Multiplication alteration by two-cocycles - the quantum version
• Quantum groups and deformation quantization: Explicit approaches and implicit aspects

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