Symmetry Groups and Matrix Representations

Undergraduate

Symmetry groups, their invariants and matrix representations. Permutation groups, rotation groups. Representations of discrete and continuous groups by linear transformations (matrices). General properties and constructions of group representations. Representations of specific groups. Lie groups and Lie algebras. Applications in various areas of Mathematics and Theoretical Physics. Course Format: Lectures, lab, 4 hours per week Prerequisite(s): MATH 2P12 or permission of the instructor Course Notes: This course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.