Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra.

DOI10.1016/j.jalgebra.2015.05.032zbMath1332.16024arXiv1403.7077OpenAlexW2964199040MaRDI QIDQ493768

Florin Panaite, Abdenacer Makhlouf

Publication date: 4 September 2015

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

Full work available at URL: https://arxiv.org/abs/1403.7077

zbMATH Keywords

crossed productsDrinfeld doublestwisted tensor productsHom-associative algebrasHom-bialgebrasHom-Hopf algebrasL-R-smash productstwisting operators

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (24)

Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras ⋮ Hom-L-R-smash biproduct and the category of Hom–Yetter–Drinfel’d–Long bimodules ⋮ Solutions of the $\mathrm{BiHom}$-Yang-Baxter equation ⋮ Symmetric pairs and pseudosymmetry of \(\Theta\)-Yetter-Drinfeld categories for Hom-Hopf algebras ⋮ On Hom-groups and Hom-group actions ⋮ Drinfeld codoubles of Hom-Hopf algebras ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Quasi-bimonads and their representations ⋮ Symmetry and pseudosymmetry of v-Yetter–Drinfeld categories for Hom–Hopf algebras ⋮ BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS ⋮ Cotwists of bicomonads and BiHom-bialgebras ⋮ Rota–Baxter operators on BiHom-associative algebras and related structures ⋮ Drinfel’d construction for Hom–Hopf T-coalgebras ⋮ Purely Hom-Lie bialgebras ⋮ Smash coproducts of monoidal comonads and Hom-entwining structures ⋮ The Drinfel’d double versus the Heisenberg double for Hom-Hopf algebras ⋮ Hom-Lie-Hopf algebras ⋮ Gerstenhaber–Schack cohomology for Hom-bialgebras and deformations ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ Lazy 2-cocycle and Radford (m,n)-biproduct ⋮ Entwined Hom-modules and frobenius properties ⋮ Crossed products of Hom-Hopf algebras ⋮ Yetter-Drinfeld modules for weak Hom-Hopf algebras ⋮ Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories

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