Academic Catalog

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.