| Description |
-
In this thesis, we explore the representation theory of semisimple Lie
algebras, assuming roughly a first course in Lie algebras and a bit of algebraic
background. After discussing preliminaries, we develop universal enveloping algebras,
then prove the Theorem of the Highest Weight. The final two chapters of this thesis
explore further results in representation theory, proving Chevalley's ... read moretheorem on
invariant polynomials, and Harish-Chandra's theorem on central characters. This thesis
ends with a purely algebraic proof of the Weyl Character formula.read less
|
|---|
This object is in collection
