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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| Формат: | Dissertation |
| Мова: | Англійська |
| Опубліковано: |
Philipps-Universität Marburg
2016
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| Онлайн доступ: | PDF-повний текст |
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| Резюме: | 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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| Фізичний опис: | 107 Seiten |
| DOI: | 10.17192/z2017.0049 |