簡易檢索 / 詳目顯示

回結果列表
研究生： 張峰睿
論文名稱： 甲類圖表與等價關係
Type A Diagrams and Equivalence Relations
指導教授： 蔡孟傑
口試委員: 顏東勇
李華倫
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： 2012
畢業學年度： 100
語文別： 英文
論文頁數： 16
中文關鍵詞： Vogan diagram 、Root System
外文關鍵詞： Vogan diagram, Root System
相關次數： 點閱：1  下載：0 
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

    • Vogan diagram is a representation of automorphism in Lie algebra. In this thesis,we start from root system then define Dynkin diagram and Vogan diagram. In [3] Vogan diagram are other 2, then we generalize to other 3. Furthermore, we show some relation of Vogan diagem Type A and find equivalent classs respectively.

    Vogan diagram is a representation of automorphism in Lie algebra. In this thesis,we start from root system then define Dynkin diagram and Vogan diagram. In [3] Vogan diagram are other 2, then we generalize to other 3. Furthermore, we show some relation of Vogan diagem Type A and find equivalent classs respectively.

    Contents Abstract page 1 1. Introduction page 2 2. Root Systems page 3 3. De nition of Vogan diagram page 6 4. De ne the equivalence of Vogan diagram page 8 5. Weak equivalent pair of type A page 10 References page 16

    [1] J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York 1972.

    [2] V. G. Kac, Infinite Dimensional Lie Algebras, 3rd. ed., Cambridge Univ. Press, Cambridge 1990.

    [3] A. W. Knapp, Lie Groups beyond an Introduction, 2nd. ed., Progr. Math. vol.140, BirkhÄauser, Boston 2002.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)
    全文公開日期 本全文未授權公開 (國家圖書館：臺灣博碩士論文系統)
    QR CODE