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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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| פורמט: | Dissertation |
| שפה: | אנגלית |
| יצא לאור: |
Philipps-Universität Marburg
2016
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| גישה מקוונת: | PDF-Volltext |
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| סיכום: | 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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| תיאור פיזי: | 107 Seiten |
| DOI: | 10.17192/z2017.0049 |