Main Page | See live article | Alphabetical index This is a list of Lie group topics, by Wikipedia page. Table of contents 1 Examples 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 Charts on SO(3) 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 Simple Lie group Root system Maximal torus Weyl group Dynkin diagram Coxeter group 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 Poisson bracket Noether's theorem Wigner's classification SU(3)XSU(2)XU(1) Flipped SU(5) Anti de Sitter space De Sitter space Supergroup (physics) Superalgebra Twistor Anyon Geometry Erlangen programme Homogeneous space Principal homogeneous space Invariant theory Lie derivative Lie groupoid Lie algebroid Automorphic forms Langlands program History Sophus Lie (1842-1899) This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.