Course description
The course covers for example: Basis theory of Lie groups and Lie algebras. Nilpotent and simple Lie algebras. Theory of root systems and Dynkin diagrams. Examples of important representations of elementary Lie groups. Peter-Weyl theorem and examples.
Requirements and Selection
Entry requirements
Linear and multi-linear algebra. Real Analysis, Functional Analysis. Higher differential calclus. Elementary differential geometry.
Selection
Not relevant
Course syllabus
NFMV022
Department
Department of Mathematical Sciences
Subject
Natural Science and Mathematics
Type of course
Subject area course
Keywords
Lie groups, Lie algebras