Quantum lines for dual quasi-bialgebras. (Q2352030)

Let \((H,\omega)\) be a dual quasi-bialgebra. The authors study quantum lines over \(H\), i.e. Hopf algebras in the category of Yetter-Drinfeld modules over \(H\) generated by a one-dimensional Yetter-Drinfeld submodule. It is shown how a quantum line arises from a certain set of data. Some interesting examples are computed in the case where \(H\) is the group algebra of a cyclic group and \(\omega\) is a 3-cocycle.