丁類圖表與等價關係

Type D Diagrams and Equivalence Relations

陳志興

指導教授 ： 蔡孟傑

國立清華大學/理學院/數學系/碩士(2012年)

https://doi.org/10.6843/NTHU.2012.00328

摘要

In this thesis, we extend the definition of Vogan diagrams and its equivalence relations corresponding to the reflection on root systems. We observe type D diagrams and try to classify whether two standard diagrams are strongly equivalent or not.

關鍵字

Vogan Diagram ； Root System

並列摘要

In this thesis, we extend the definition of Vogan diagrams and its equivalence relations corresponding to the reflection on root systems. We observe type D diagrams and try to classify whether two standard diagrams are strongly equivalent or not.

並列關鍵字

Vogan Diagram ； Root System

參考文獻

[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.