2 problems

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The cocycle deformation conjecture for liftings of Cartan type
Cocycle deformation conjecture. Every lifting $L$ is a cocycle deformation of the bosonization
Conjectureopencocycle-deformations hopf-algebras quantum-groupsarXiv posted 2 days ago
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Affine-space conjecture for moduli of cocycles on pointed Hopf algebras
Affine-space conjecture. The moduli space of 2-cocycles up to equivalence is the disjoint union of affine spaces.
Conjectureopencocycle-deformations hopf-algebras invariant-theoryarXiv posted 2 days ago

The cocycle deformation conjecture for liftings of Cartan type