Hom-L-R-smash biproduct and the category of Hom–Yetter–Drinfel’d–Long bimodules

DOI10.1142/S0219498818501335zbMath1430.16030OpenAlexW2629199652MaRDI QIDQ4566069

Daowei Lu, Xiaohui Zhang

Publication date: 14 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501335

zbMATH Keywords

braided monoidal categoryHom-Hopf algebraHom-L-R smash biproductHom-Yetter-Drinfel'd-long bimodule

Mathematics Subject Classification ID

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

Related Items

Drinfeld codoubles of Hom-Hopf algebras, Cotwists of bicomonads and BiHom-bialgebras, On unified Hom-Yetter-Drinfeld categories

Cites Work

• Unnamed Item
• Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra.
• L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules.
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Separable functors for the category of Doi Hom-Hopf modules
• The Drinfel’d double versus the Heisenberg double for Hom-Hopf algebras
• Cleft extensions and Galois extensions for Hom-associative algebras
• Monoidal Hom–Hopf Algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Yetter-Drinfeld-Long bimodules are modules
• Yetter-Drinfeld modules for Hom-bialgebras