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.