arXiv subjects
Publications and source records attributed to Malte Gerhold.
We study several sufficient conditions for the existence of a Lévy-Khinchin decomposition of generating functionals. We show that none of these conditions are equivalent and we show that such a decomposition does not always exist.
Additive deformations of bialgebras in the sense of J. Wirth, i.e. deformations of the multiplication map fulfilling a certain compatibility condition w.r.t. the coalgebra structure, can be generalized to braided bialgebras. The theorems for additive deformations of Hopf algebras can also be carried over to that case. We consider *-structures and prove a general Schoenberg correspondence in this context. Finally we give some examples.