Additive deformations of braided Hopf algebras

• Autorzy: Malte Gerhold , Stefan Kietzmann , Stephanie Lachs
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 96
• Numer: 1
• Strony: 175-191

Daty

wydano

2011

Twórcy

autor

Malte Gerhold

• Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Germany

autor

Stefan Kietzmann

• Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Germany

autor

Stephanie Lachs

• Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Germany

Identyfikatory

DOI

10.4064/bc96-0-11