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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-11,
author = {Malte Gerhold and Stefan Kietzmann and Stephanie Lachs},
title = {Additive deformations of braided Hopf algebras},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {175-191},
zbl = {1252.16029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-11}
}
Malte Gerhold; Stefan Kietzmann; Stephanie Lachs. Additive deformations of braided Hopf algebras. Banach Center Publications, Tome 95 (2011) pp. 175-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-11/