Group theory: birdtracks, Lie's, and exceptional groups

A preview

Invariants and reducibility

Diagrammatic notation

Recouplings

Permutations

Casimir operators

Group integrals

Unitary groups / P. Cvitanovic, H. Elvang, and A.D. Kennedy

Orthogonal groups

Spinors / P. Cvitanovic and A.D. Kennedy

Symplectic groups

Negative dimensions / P. Cvitanovic and A.D. Kennedy

Spinors' symplectic sisters / P. Cvitanovic and A.D. Kennedy

SU(n) family of invariance groups

G₂ family of invariance groups

E₈ family of invariance groups

E₆ family of invariance groups

F₄ family of invariance groups

E₇ family and its negative-dimensional cousins

Exceptional magic

Appendix A: Recursive decomposition

Appendix B: Properties of young projections / H. Elvang and P. Cvitanovic.