Time dilation

Determinants and volume, revisited

Sign of a permutation

Lie groups and Lie algebras: Invariant theory (optional extra video)

Lie groups and Lie algebras: Decomposing into irreps

Lie groups and Lie algebras: Decomposing SU(3) representations

Lie groups and Lie algebras: Classification of SU(3) representations

Lie groups and Lie algebras: Further reading

Lie groups and Lie algebras: Classification of Dynkin diagrams

Lie groups and Lie algebras: Simple roots

Lie groups and Lie algebras: Classification of root systems, 2

Lie groups and Lie algebras: Dihedral angles

Lie groups and Lie algebras: Classification of root systems, 1

Lie groups and Lie algebras: Root systems

Lie groups and Lie algebras: Root spaces are 1-dimensional

Lie groups and Lie algebras: sl(2,C) subalgebras in general, 2

Lie groups and Lie algebras: sl(2,C) subalgebras in general, 1

Lie groups and Lie algebras: Dual Killing form and semisimplicity

Lie groups and Lie algebras: The Killing form

Lie groups and Lie algebras: The weight lattice

Lie groups and Lie algebras Optional Extra: Any torus is contained in a maximal torus

Lie groups and Lie algebras Optional Extra: Compact connected abelian groups are tori

Lie groups and Lie algebras Optional Extra: Finding compact abelian subgroups

Lie groups and Lie algebras: Maximal tori, overview

Lie groups and Lie algebras Optional Extra: Uniqueness of irreps with given highest weight

Lie groups and Lie algebras Optional Extra: Proof of classification of SU(3) irreps

Lie groups and Lie algebras: Duals

Lie groups and Lie algebras: The quark model

Lie groups and Lie algebras: Weyl symmetry

Lie groups and Lie algebras: Root vectors acting on weight spaces