PHYS515 GROUP REPRESENTATIONS
Course Code: |
2300515 |
METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
ECTS Credit: |
8.0 |
Department: |
Physics |
Language of Instruction: |
English |
Level of Study: |
Graduate |
Course Coordinator: |
|
Offered Semester: |
Once in several years. |
Course Content
Lie groups. Lie algebras. Symmetry groups of differential equations. Invariant forms on Lie groups. Ideals, solvability and nilpotency. Cartan subalgebras and root spaces. Coxeter-Dynkin diagrams. Classical Lie algebras. Representation theory. Tensor products. Enveloping algebras and Casimir operators. Physical applications.