List of Lie group topics
This is a list of Lie group topics, by Wikipedia page.
| Table of contents |
|
2 Lie algebras 3 Semisimple theory 4 Lie group decompositions 5 Representation theory 6 Applications 7 History |
Examples
- General linear group, special linear group
- Unitary group, special unitary group
- Orthogonal group, special orthogonal group, generalized special orthogonal group
- Symplectic group
- G2 (mathematics)
- F4 (mathematics)
- E6 (mathematics)
- Affine group
- Lorentz group
- Poincaré group
Lie algebras
- Commutator
- Jacobi identity
- Adjoint representation
- Universal enveloping algebra
- Campbell-Hausdorff formula
Semisimple theory
Lie group decompositions
Representation theory
- Representation of Lie algebras
- Representations of Lie groups and algebras
- Weight (representation theory)
- Unitary representation
- Peter-Weyl theorem
Applications
- Physical theories
- Geometry
- Automorphic forms
History
