Additive Deformations of Braided Hopf Algebras

Details Additive Deformations of Braided Hopf Algebras Additive Deformations of Braided Hopf Algebras

2011-04-08

arxiv.org/abs/1104.1559v1

Mathematics

Quantum Algebra

Scientific paper

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.

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