Studies linear actions of algebraic structures (groups, rings, Lie algebras, associative algebras) on vector spaces; reduces structure to linear algebra via characters and modules.
Representation theory
Related concepts
- Group (G, ·)
- Vector space
- Linear map
- Schur's lemma
- Weyl character (1925)
- SU(3) flavor decomposition 3 ⊗ 3̄ = 1 ⊕ 8 (standard-model)
- Character orthogonality: (1/|G|)Σ χ_i(g) χ_j(g)* = δ_{ij}
- Quantum angular momentum
- Multireference methods (CASSCF, MRCI, NEVPT2)
- Russell–Saunders term symbols
- Tanabe–Sugano diagrams
- Joint kinematics