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math.QA2013
Quantum Lines for Dual Quasi-Bialgebras
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
In this paper, the theory to construct quantum lines for general dual quasi-bialgebras is developed followed by some specific examples where the dual quasi-bialgebras are pointed w…
math.QA2013
Quasi-bialgebra Structures and Torsion-free Abelian Groups
Alessandro Ardizzoni, Daniel Bulacu, Claudia Menini
We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorph…