See abstract groups come alive through 21 interactive demonstrations. Build character tables, watch symmetries act on vector spaces, construct Young tableaux, and decompose representations into irreducible building blocks.
See also: Group Theory for the abstract groups being represented, Linear Algebra for the vector spaces and matrices that representations live in, and Lie Groups for representations of continuous symmetry groups.
Build character tables interactively for small groups
Visualize irreducible representations as symmetry-breaking animations
Symmetric group representations via Young diagrams and tableaux
The fundamental constraint on maps between irreducible representations
Visualize how groups act on sets, and the orbit-stabilizer theorem
Combine representations and decompose the result
Break any representation into irreducible building blocks