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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 001, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.001 (Mi sigma866) 		 
On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras

Said Aissaouia, Abdenacer Makhloufb

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
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DOI: https://doi.org/10.3842/SIGMA.2014.001
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 $n\leq 4$.
Keywords: superalgebra; superbialgebra; Hopf superalgebra; classification.
Received: February 8, 2013; in final form December 23, 2013; Published online January 2, 2014
Bibliographic databases:
Document Type: Article
MSC: 16T10; 57T05; 17A70
Language: English
Citation: Said Aissaoui, Abdenacer Makhlouf, “On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras”, SIGMA, 10 (2014), 001, 24 pp.
Citation in format AMSBIB
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