math.RT Representation Theory
- Much of modern particle physics is related to representations of Lie algebras. For instance, Gell-Mann's "Eightfold Way" comes from the representation theory of SU(3) and its associated algebra.
- Almost every application of theoretic physics in solid state physics extensively uses representation theory in description of periodic and quasi-periodic media as crystals, semiconductors etc. In fact solutions of Schroedinger Equation in such cases, numerical or analytical has to be carried in accordance with representation of crystal/quasi cristal symmetry group.
