Category:Lie groups
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Here is a list of articles in the Lie groups category of the Computing portal that unifies foundations of mathematics and computations using computers.
Subcategories
This category has the following 11 subcategories, out of 11 total.
A
E
H
I
L
R
S
T
Pages in category "Lie groups"
The following 163 pages are in this category, out of 163 total.
- Glossary of semisimple groups (computing)
- Lie group (computing)
- Lie theory (computing)
- List of Lie groups topics (computing)
2
- 2E6 (mathematics) (computing)
3
- 3D4 (computing)
A
- Abelian Lie group (computing)
- ADE classification (computing)
- Adjoint representation (computing)
- Affine group (computing)
- Ahlfors finiteness theorem (computing)
- Algebraic representation (computing)
- Algebraic torus (computing)
- Automorphic form (computing)
B
- Baker–Campbell–Hausdorff formula (computing)
- Berry–Robbins problem (computing)
- Bianchi classification (computing)
- Borel–de Siebenthal theory (computing)
- Bruhat decomposition (computing)
C
- Carnot group (computing)
- Cartan decomposition (computing)
- Cartan subgroup (computing)
- Cartan's theorem (computing)
- Charts on SO(3) (computing)
- Chevalley basis (computing)
- Chevalley restriction theorem (computing)
- Circle group (computing)
- Classical group (computing)
- Clifford–Klein form (computing)
- Closed-subgroup theorem (computing)
- Compact group (computing)
- Complex Lie group (computing)
- Complex reflection group (computing)
- Complexification (Lie group) (computing)
- Continuous symmetry (computing)
- Covering group (computing)
- Coxeter element (computing)
D
- Darboux derivative (computing)
- Derivative of the exponential map (computing)
- Dunkl operator (computing)
E
- E6 (mathematics) (computing)
- E7 (mathematics) (computing)
- E7½ (computing)
- E8 (mathematics) (computing)
- Einstein group (computing)
- En (Lie algebra) (computing)
- Euclidean group (computing)
- An Exceptionally Simple Theory of Everything (physics)
- Exponential map (Lie theory) (computing)
F
- F4 (mathematics) (computing)
- Freudenthal magic square (computing)
- Fundamental representation (computing)
- Fundamental vector field (physics)
G
- G2 (mathematics) (computing)
- General linear group (computing)
- General semilinear group (computing)
- GL(n,C) (computing)
- Group algebra (computing)
- Group algebra of a locally compact group (computing)
- Group contraction (computing)
H
- Haar measure (computing)
- Harish-Chandra's c-function (computing)
- Heisenberg group (computing)
- Hermitian symmetric space (computing)
- Hilbert's fifth problem (computing)
- Hitchin system (computing)
- Homogeneous space (computing)
I
- Identity component (computing)
- Improper rotation (computing)
- Indefinite orthogonal group (computing)
- Infinitesimal transformation (computing)
- Invariant convex cone (computing)
- Iwasawa decomposition (computing)
- Iwasawa manifold (computing)
J
- Jacobi group (computing)
- Jet group (computing)
K
- Kazhdan–Margulis theorem (computing)
- Killing form (computing)
- Klein geometry (computing)
- Kleinian group (computing)
- Kostant's convexity theorem (computing)
L
- Laguerre transformations (computing)
- Langlands decomposition (computing)
- Lattice (discrete subgroup) (computing)
- Lattice (group) (computing)
- Length of a Weyl group element (computing)
- Lie algebra (computing)
- Lie algebra extension (physics)
- Lie group decomposition (computing)
- Lie group–Lie algebra correspondence (computing)
- Lie point symmetry (computing)
- Lie product formula (computing)
- Lie's third theorem (computing)
- Linear flow on the torus (computing)
- List of simple Lie groups (computing)
- Lorentz group (computing)
M
- Margulis lemma (computing)
- Matrix exponential (computing)
- Maurer–Cartan form (computing)
- Maximal compact subgroup (computing)
- Maximal torus (computing)
- Möbius transformation (computing)
- Mostow–Palais theorem (computing)
- Mutation (Jordan algebra) (computing)
N
- Nilmanifold (computing)
O
- One-parameter group (computing)
- Oppenheim conjecture (computing)
- Orthogonal group (computing)
P
- P-compact group (computing)
- Pansu derivative (computing)
- Pauli matrices (computing)
- Pin group (computing)
- Ping-pong lemma (computing)
- Poincaré group (physics)
- Poisson–Lie group (computing)
- Polar decomposition (computing)
- Pre-Lie algebra (computing)
- Principal homogeneous space (computing)
- Principal orbit type theorem (computing)
- Projective linear group (computing)
- Projective orthogonal group (computing)
- Projective semilinear group (computing)
- Projective unitary group (computing)
- Pseudogroup (computing)
Q
- Quaternion-Kähler symmetric space (computing)
R
- Ratner's theorems (computing)
- Real form (Lie theory) (computing)
- Reductive group (computing)
- Regular element of a Lie algebra (computing)
- Representation of a Lie group (computing)
- Representation ring (computing)
- Restricted root system (computing)
- Root system (computing)
- 3D rotation group (computing)
S
- Schottky group (computing)
- Schrödinger group (physics)
- Simple Lie group (computing)
- SL2(R) (computing)
- SO(5) (computing)
- SO(8) (computing)
- Special affine group (computing)
- Special linear group (computing)
- Special linear Lie algebra (computing)
- Special unitary group (computing)
- Spin group (computing)
- Spin tensor (computing)
- Symmetric cone (computing)
- Symmetric space (computing)
- Symplectic group (computing)
T
- Table of Lie groups (computing)
- Tangent Lie group (computing)
- Theory of Lie groups (computing)
- Theta representation (computing)
- Topological group (computing)
- Triality (computing)
- Trombi–Varadarajan theorem (computing)
U
- Unitary group (computing)
V
- Vector flow (computing)
- Virasoro group (computing)
- Vogel plane (computing)
W
- Weakly symmetric space (computing)
- Wess–Zumino–Witten model (physics)
- Weyl group (computing)