On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Aissaoui, S., Makhlouf, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146808
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras / S. Aissaoui, A. Makhlouf // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ.

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.