Show simple item record

dc.contributor.authorChebel, Zoheir
dc.contributor.authorMakhlouf, Abdenacer
dc.date.accessioned2019-02-10T14:47:11Z
dc.date.available2019-02-10T14:47:11Z
dc.date.issued2018-10-21
dc.identifier.urihttp://hdl.handle.net/123456789/136515
dc.description.abstractIn this thesis, we study the structure of weak bialgebras and weak Hopf algebras. These structures appeared in Physics, in particular in renormalization in quantum fields theory and q-deformations of oscillator algebras. They are generalization of bialgebras and Hopf algebras obtained by relaxing the condition that the comultiplication and the counit are algebra maps with respect to the unit element. In this work, we provide a complete study of weak bialgebra and weak Hopf algebras structures. We recall definitions and properties. Moreover a classification in dimension 2 and 3 are given. The main results deal with Kaplansky-type constructions. Indeed we show various constructions providing weak bialgebras and weak Hopf algebras, starting by an associative algebra. A second part of this thesis is dedicated to twisted structures, which are Hom-type algebras. We introduce weak hom-bialgebras and weak Hom-Hopf algebras for which we obtain similar results. In the last part of the thesis, we explore Ore extensions and deformations of weak bialgebras and weak Hopf algebras.fr_FR
dc.language.isofrfr_FR
dc.publisherجامعة الإخوة منتوري قسنطينةfr_FR
dc.subjectbialgèbre faiblefr_FR
dc.subjectalgèbre de Hopf faiblefr_FR
dc.subjectconstructionfr_FR
dc.subjectclassificationfr_FR
dc.subjectgroupe d’ automorphismesfr_FR
dc.subjectalgèbre Hom-associativefr_FR
dc.subjectHom-bialgèbre faiblefr_FR
dc.subjectalgèbre Hom-Hopf faiblefr_FR
dc.subjectweak bialgebrafr_FR
dc.subjectweak Hopf algebrafr_FR
dc.subjectconstructionfr_FR
dc.subjectclassificationfr_FR
dc.subjectautomorphism groupfr_FR
dc.subjectHom-associative algebrafr_FR
dc.subjectweak Hom-bialgebrafr_FR
dc.subjectweak Hom-Hopf algebrafr_FR
dc.titleSur les bialgèbres faibles et les algèbres de Hopf faibles.fr_FR
dc.typeThesisfr_FR


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record