Item type:Thesis, Open Access

Deformed Fomin-Kirillov Algebras and Applications

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Philipps-Universität Marburg

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Abstract

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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Röhrig, Bastian: Deformed Fomin-Kirillov Algebras and Applications. : Philipps-Universität Marburg 2017-01-12. DOI: https://doi.org/10.17192/z2017.0049.

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This item has been published with the following license: In Copyright