Additive Deformations of Braided Hopf Algebras
Quantum Algebra
2016-12-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1104.1559,
title = {Additive Deformations of Braided Hopf Algebras},
author = {Malte Gerhold and Stefan Kietzmann and Stephanie Lachs},
journal= {arXiv preprint arXiv:1104.1559},
year = {2016}
}