Open Access
Translator Disclaimer
2015 Kaplansky's Type Constructions for Weak Bialgebras and Weak Hopf Algebras
Z. Chebel, A. Makhlouf
J. Gen. Lie Theory Appl. 9(S1): 1-9 (2015). DOI: 10.4172/1736-4337.S1-008

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 type constructions 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.

Citation

Download Citation

Z. Chebel. A. Makhlouf. "Kaplansky's Type Constructions for Weak Bialgebras and Weak Hopf Algebras." J. Gen. Lie Theory Appl. 9 (S1) 1 - 9, 2015. https://doi.org/10.4172/1736-4337.S1-008

Information

Published: 2015
First available in Project Euclid: 11 November 2016

zbMATH: 1371.16033
MathSciNet: MR3637852
Digital Object Identifier: 10.4172/1736-4337.S1-008

Keywords: Automorphisms group , ‎classification‎ , construction , weak Hopf algebra

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.9 • No. S1 • 2015
Back to Top