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...
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Rannpháirtithe: | |
Formáid: | Dissertation |
Teanga: | Béarla |
Foilsithe / Cruthaithe: |
Philipps-Universität Marburg
2016
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Rochtain ar líne: | An téacs iomlán mar PDF |
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Achoimre: | 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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Cur síos fisiciúil: | 107 Seiten |
DOI: | 10.17192/z2017.0049 |