Part III: Group Theory

Symmetry as the organizing principle of physics: finite groups, Lie groups and algebras, representation theory, and applications to quantum mechanics.

Group Theory Basics

Axioms, examples, character tables, Schur lemma

Lie Groups & Algebras

SO(3), SU(2), generators, exponential map

Representation Theory

Irreducible representations, Clebsch-Gordan

Symmetry in Physics

Noether theorem, selection rules, Wigner-Eckart

← Part IIPart IV →