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...
محفوظ في:
المؤلف الرئيسي: | |
---|---|
مؤلفون آخرون: | |
التنسيق: | Dissertation |
اللغة: | الإنجليزية |
منشور في: |
Philipps-Universität Marburg
2016
|
الموضوعات: | |
الوصول للمادة أونلاين: | PDF النص الكامل |
الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
الملخص: | 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. |
---|---|
وصف مادي: | 107 Seiten |
DOI: | 10.17192/z2017.0049 |