L-R-smash product for (quasi-)Hopf algebras.

DOI10.1016/j.jalgebra.2006.07.020zbMath1126.16016arXivmath/0504386OpenAlexW2088442794MaRDI QIDQ875080

Freddy M. J. van Oystaeyen, Florin Panaite

Publication date: 11 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0504386

zbMATH Keywords

smash productsquasi-Hopf algebrasquasi-bialgebrascocommutative Hopf algebras

Mathematics Subject Classification ID

Related Items (19)

On quasi-Hopf smash products and twisted tensor products of quasialgebras. ⋮ Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic. ⋮ General twisting of algebras. ⋮ The global dimension of L-R twisted smash products. ⋮ L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules. ⋮ Monoidal ring and coring structures obtained from wreaths and cowreaths. ⋮ Gorenstein global dimensions and representation dimensions for L-R smash products. ⋮ L-R-Smash Products and L-R-Twisted Tensor Products of Algebras ⋮ Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra. ⋮ On L-R Smash Products of Hopf Algebras ⋮ Duality theorem for L-R crossed coproducts ⋮ THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS ⋮ The Antipode of a Braided Dual Quasi-Hopf Algebra is Bijective ⋮ Quantum Cocommutative Coalgebras in $^{H}_{H}\mathcal{YD}$ and the Solutions of the Quasi-Yang-Baxter Equation ⋮ A duality theorem for weak L-R smash products. ⋮ Bitwistor and Quasitriangular Structures of Bialgebras ⋮ ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS ⋮ On anchored Lie algebras and the Connes-Moscovici bialgebroid construction ⋮ Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups

Cites Work

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• Biinvertible actions of Hopf algebras
• Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications.
• Quantum double for quasi-Hopf algebras
• Semi-direct products of Hopf algebras
• Doubles of quasi-quantum groups
• Twisting products in algebras. II
• Crossed modules and Doi-Hopf modules
• Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras.
• Minimal quasitriangular Hopf algebras
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Quantum groups and deformation quantization: Explicit approaches and implicit aspects
• Twisting products in hopf algebras and the construction of the quantum double
• Quasi-hopf algebra actions and smash products

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