Additive deformations of braided Hopf algebras
Tom 96 / 2011
Banach Center Publications 96 (2011), 175-191
MSC: 16T05.
DOI: 10.4064/bc96-0-11
Streszczenie
Additive deformations of bialgebras in the sense of J. Wirth [PhD thesis, Université Paris VI, 2002], i.e. deformations of the multiplication map fulfilling a certain compatibility condition with respect to 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.