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math.QA2010
Preantipodes for dual-quasi bialgebras
Alessandro Ardizzoni, Alice Pavarin
It is known that a dual quasi-bialgebra with antipode , i.e. a dual quasi-Hopf algebra, fulfils a fundamental theorem for right dual quasi-Hopf -bicomodules. The converse in…
math.QA2010
Gauge deformations for Hopf algebras with the dual Chevalley property
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
Let be a Hopf algebra over a field of characteristic zero such that its coradical is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge…
math.QA2010
Cocycle deformations for liftings of quantum linear spaces
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
Let be a Hopf algebra over a field of characteristic 0 and suppose there is a coalgebra projection from to a sub-Hopf algebra that splits the inclusion. If the…