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Titel:Deformed Fomin-Kirillov Algebras and Applications
Autor:Röhrig, Bastian
Weitere Beteiligte: Heckenberger, István (Prof. Dr.)
URN: urn:nbn:de:hebis:04-z2017-00493
DDC: Mathematik
Titel (trans.):Deformierte Fomin-Kirillov-Algebren und Anwendungen


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

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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