Additive deformations of braided Hopf algebras

Malte Gerhold, Stefan Kietzmann, and Stephanie Lachs. "Additive deformations of braided Hopf algebras." Banach Center Publications 96.1 (2011): 175-191. <http://eudml.org/doc/286509>.

@article{MalteGerhold2011,
abstract = {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.},
author = {Malte Gerhold, Stefan Kietzmann, Stephanie Lachs},
journal = {Banach Center Publications},
keywords = {braided Hopf algebras; deformation theory; quantum algebras; quantum groups; cohomology; braided bialgebras},
language = {eng},
number = {1},
pages = {175-191},
title = {Additive deformations of braided Hopf algebras},
url = {http://eudml.org/doc/286509},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Malte Gerhold
AU - Stefan Kietzmann
AU - Stephanie Lachs
TI - Additive deformations of braided Hopf algebras
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 175
EP - 191
AB - 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.
LA - eng
KW - braided Hopf algebras; deformation theory; quantum algebras; quantum groups; cohomology; braided bialgebras
UR - http://eudml.org/doc/286509
ER -