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arXiv · 1001.2194

Kaplansky's Construction Type and Classification of Weak bialgebras and Weak Hopf algebras

Zoheir Chebel·Abdenacer Makhlouf
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Abstract

In this paper, we study weak bialgebras and weak Hopf algebras. These algebras form a class wider than bialgebras respectively Hopf algebras. The main results of this paper are Kaplansky's constructions type which lead to weak bialgebras or weak Hopf algebras starting from a regular algebra or a bialgebra. Also we provide a classification of 2-dimensional and 3-dimensional weak bialgebras and weak Hopf algebras. We determine then the stabilizer group and the representative of these classes, the action being that of the linear group.

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BibTeXRIS

Zoheir Chebel, Abdenacer Makhlouf. 2010-01-13. Kaplansky's Construction Type and Classification of Weak bialgebras and Weak Hopf algebras. https://arxiv.org/abs/1001.2194

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