戊類圖型的組合演算

Combinatorial algorithms on diagram of type E

許家甄(Chia-Chen Hsu)

指導教授 ： 蔡孟傑

國立清華大學/理學院/數學系/碩士(2016年)

摘要

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.

關鍵字

卡茨圖 ； 標準卡茨圖 ； 圖自同構

並列摘要

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.

並列關鍵字

Kac diagram ； Standard Kac diagram ； diagram automorphisms

參考文獻

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

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