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Titel:Deformed Fomin-Kirillov Algebras and Applications
Autor:Röhrig, Bastian
Weitere Beteiligte: Heckenberger, István (Prof. Dr.)
Veröffentlicht:2016
URI:https://archiv.ub.uni-marburg.de/diss/z2017/0049
URN: urn:nbn:de:hebis:04-z2017-00493
DOI: https://doi.org/10.17192/z2017.0049
DDC: Mathematik
Titel (trans.):Deformierte Fomin-Kirillov-Algebren und Anwendungen
Publikationsdatum:2017-01-12
Lizenz:https://rightsstatements.org/vocab/InC-NC/1.0/

Dokument

Schlagwörter:
Hopf-Algebra, Group, Nichols algebra, Symmetrische Gruppe, Gruppe <Mathematik>, Nichols-Algebra, Algebra, Mathematics, Mathematik, symmetric group, Hopf algebra, Algebra

Summary:
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.

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