Small Bialgebras with a Projection: Applications

DOI10.1080/00927870802623419zbMath1184.16032arXiv0705.3522OpenAlexW2116849564MaRDI QIDQ3395619

Alessandro Ardizzoni, Menini, Claudia

Publication date: 11 September 2009

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

Full work available at URL: https://arxiv.org/abs/0705.3522

zbMATH Keywords

Hopf algebrasantipodesprimitive elementsbosonizationsbialgebrasOre extensionscoalgebra projections

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Bialgebras (16T10)

Related Items (2)

GAUGE DEFORMATIONS FOR HOPF ALGEBRAS WITH THE DUAL CHEVALLEY PROPERTY ⋮ Cocycle deformations for Hopf algebras with a coalgebra projection.

Cites Work

• The structure of Hopf algebras with a projection
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Cross products by braided groups and bosonization
• Quantum lines over non-cocommutative cosemisimple Hopf algebras.
• The structure of Hopf algebras with a weak projection
• Hopf algebras of dimension 12
• Small bialgebras with a projection.
• A monoidal approach to splitting morphisms of bialgebras

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