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研究生: 許家甄
Chia-Chen Hsu
論文名稱: 戊類圖型的組合演算
Combinatorial algorithms on diagram of type E
指導教授: 蔡孟傑
Meng-Kiat Chuah
口試委員: 潘戍衍
莊重
學位類別: 碩士
Master
系所名稱: 理學院 - 數學系
Department of Mathematics
論文出版年: 2016
畢業學年度: 104
語文別: 英文
論文頁數: 20
中文關鍵詞: 卡茨圖標準卡茨圖圖自同構
外文關鍵詞: Kac diagram, Standard Kac diagram, diagram automorphisms
相關次數: 點閱:3下載:0
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  • In this thesis, we consider a diagram of type E, with some integer assignments to its vertices. We introduce an equivalence relation on these integer assignments, and study the resulting equivalence classes together with transformations of diagram automorphisms.


    In this thesis, we consider a diagram of type E, with some integer assignments to its vertices. We introduce an equivalence relation on these integer assignments, and study the resulting equivalence classes together with transformations of diagram automorphisms.

    1 Introduction p.1 2 Equivalence Relation and Diagram Automorphisms p.5 3 Equivalent Kac diagrams p.12 4 Standard Kac diagrams p.15 5 Lengths Kac diagrams p.18 References p.20

    J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag 1980.

    V. G. Kac, Infinite dimensional Lie algebras, Cambridge University Press 1990.

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