Deformed Fomin-Kirillov Algebras and Applications

Deformed Fomin-Kirillov Algebras and Applications

We consider a deformed version of Fomin-Kirillov algebras and investigate their relation to regular Fomin-Kirillov algebras. We observe that certain subalgebras of a deformed Fomin-Kirillov algebra closely resemble "smaller" Fomin-Kirillov algebras. This observation is used to calculate th...

Descripció completa

Guardat en:
Dades bibliogràfiques
Autor principal: Röhrig, Bastian
Altres autors: Heckenberger, István (Prof. Dr.) (Assessor de tesis)
Format: Dissertation
Idioma:anglès
Publicat: Philipps-Universität Marburg 2016
Matèries:
Hopf-Algebra
Group
Nichols algebra
Symmetrische Gruppe
Gruppe <Mathematik>
Nichols-Algebra
Algebra
Mathematics
Mathematik
symmetric group
Hopf algebra
Accés en línia:PDF a text complet
Etiquetes: Afegir etiqueta
Sense etiquetes, Sigues el primer a etiquetar aquest registre!
Descripció
Sumari:We consider a deformed version of Fomin-Kirillov algebras and investigate their relation to regular Fomin-Kirillov algebras. We observe that certain subalgebras of a deformed Fomin-Kirillov algebra closely resemble "smaller" Fomin-Kirillov algebras. This observation is used to calculate the vector space dimension of Fomin-Kirillov algebras in many examples, in particular for the complete graph on 5 vertices. Furthermore, we study groups attached to Fomin-Kirillov algebras. The attached groups turn out to posses striking structures in examples.
Descripció física:107 Seiten
DOI:10.17192/z2017.0049

Ítems similars