Representation Theory
concepts · 6 notes linked
Related: Group Theory · Harmonic Analysis · Lie Algebras · Fourier Transform · Singular Integrals · Hermann Weyl · Fritz Peter · Linear Algebra
Notes
- Compact group - Wikipedia — Topological groups with compact topology and their complete representation theory
- Harmonic analysis - Wikipedia — Mathematical analysis decomposing functions via symmetries scales and spectra
- Peter–Weyl theorem - Wikipedia — Harmonic analysis decomposition theorem for compact topological groups
- Representation theory - Wikipedia — Studying abstract algebra via linear transformations of vector spaces
- The 'Useless' Perspective That Transformed Mathematics — Representation theory maps abstract groups to concrete matrices
- Young tableau - Wikipedia — Combinatorial diagrams encoding symmetric and linear group representations