Cocycle Deformations for Liftings of Quantum Linear Spaces

DOI10.1080/00927872.2011.616430zbMath1247.16023arXiv1011.0648OpenAlexW2109201800MaRDI QIDQ3225591

Menini, Claudia, Beattie, Margaret, Alessandro Ardizzoni

Publication date: 22 March 2012

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

Full work available at URL: https://arxiv.org/abs/1011.0648

zbMATH Keywords

Hopf algebrasbialgebrasYetter-Drinfeld modulesliftingsquantum linear spacescocycle twistsRadford biproductscocycle deformationscoalgebra projections

Mathematics Subject Classification ID

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

Related Items (2)

GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY ⋮ Twisting Hopf algebras from cocycle deformations

Cites Work

• Unnamed Item
• Unnamed Item
• The structure of Hopf algebras with a projection
• Abelian and non-Abelian second cohomologies of quantized enveloping algebras
• On the classification of finite-dimensional pointed Hopf algebras.
• Cocycle deformations for Hopf algebras with a coalgebra projection.
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Skew pairing, cocycle deformations and double crossproducts
• Constructing pointed Hopf algebras by Ore extensions
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras.
• Defending the negated Kaplansky conjecture
• A monoidal approach to splitting morphisms of bialgebras
• Braided bialgebras and quadratic blalgebras

This page was built for publication: Cocycle Deformations for Liftings of Quantum Linear Spaces