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SIGMA 10 (2014), 001, 24 pages arXiv:1301.0838
https://doi.org/10.3842/SIGMA.2014.001
On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras
Said Aissaoui a and Abdenacer Makhlouf b
a) Université A-Mira, Laboratoire de Mathématiques Appliquées, Targa Ouzemmour 06000 Béjaia, Algeria
b) Université de Haute Alsace, Laboratoire de Mathématiques, Informatique et Applications,
4, rue des Frères Lumière F-68093 Mulhouse, France
Received February 08, 2013, in final form December 23, 2013; Published online January 02, 2014
Abstract
The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf
superalgebras.
We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf
superalgebras in dimension n with n≤4.
Key words:
superalgebra; superbialgebra; Hopf superalgebra; classification.
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