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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...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
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| অন্যান্য লেখক: | |
| বিন্যাস: | Dissertation |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
Philipps-Universität Marburg
2016
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | পিডিএফ এ সম্পূর্ন পাঠ |
| ট্যাগগুলো: |
ট্যাগ যুক্ত করুন
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| সংক্ষিপ্ত: | 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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| দৈহিক বর্ননা: | 107 Seiten |
| ডিওআই: | 10.17192/z2017.0049 |