PHYS-5726: Group Theory and its Applications in Physics

Description: Symmetries and groups (both finite and continuous) and their applications to problems in physics. 5725: Discrete symmetries and finite groups. Important concepts and theorems in group theory. Application of group theory to the theory of algebraic equations. Construction of irreducible representations of finite groups, with emphasis on those for the symmetric group. Application of finite group theory to various problems in physics. 5726: Continuous symmetries and Lie groups. Relation between Lie groups and Lie algebras. Structure of Lie algebras and their classifications using Dynkin diagrams. Construction of irreducible representations of Lie algebras, with emphasis on those of the Lie algebra su(N). Application of Lie group/Lie algebra theory to various problems in physics.

Pathways: N/A

Course Hours: 3 credits

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Crosslist: N/A

Repeatability: N/A