GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY

DOI10.1142/S0219498811005798zbMath1257.16023arXiv1012.4935OpenAlexW2963594644MaRDI QIDQ2892991

Alessandro Ardizzoni, Menini, Claudia, Beattie, Margaret

Publication date: 25 June 2012

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

Full work available at URL: https://arxiv.org/abs/1012.4935

zbMATH Keywords

Hopf algebrasgauge transformationsYetter-Drinfel'd modulescocycle twistsquasi-bialgebrasdual quasi-Hopf algebrasdual Chevalley property

Mathematics Subject Classification ID

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

Cites Work

• Cocycle deformations for Hopf algebras with a coalgebra projection.
• The structure of Hopf algebras with a weak projection
• Radford's biproduct for quasi-Hopf algebras and bosonization
• Small bialgebras with a projection.
• Characters of Hopf algebras
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras.
• Cocycle Deformations for Liftings of Quantum Linear Spaces
• Small Bialgebras with a Projection: Applications
• A monoidal approach to splitting morphisms of bialgebras
• The wedderburn-malcev theorem for comodule algebras
• Braided bialgebras and quadratic blalgebras
• Triangular Hopf algebras with the Chevalley property

This page was built for publication: GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY