Deformed Fomin-Kirillov Algebras and Applications

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...

詳細記述

保存先:
書誌詳細
第一著者: Röhrig, Bastian
その他の著者: Heckenberger, István (Prof. Dr.) (論文の指導者)
フォーマット: Dissertation
言語:英語
出版事項: Philipps-Universität Marburg 2016
主題:
Hopf-Algebra
Group
Nichols algebra
Symmetrische Gruppe
Gruppe <Mathematik>
Nichols-Algebra
Algebra
Mathematics
Mathematik
symmetric group
Hopf algebra
オンライン･アクセス:PDFフルテキスト
タグ: タグ追加
タグなし, このレコードへの初めてのタグを付けませんか!
その他の書誌記述
要約: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.
物理的記述:107 Seiten
DOI:10.17192/z2017.0049

類似資料