Category:Lie algebras
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Here is a list of articles in the Lie algebras category of the Computing portal that unifies foundations of mathematics and computations using computers.
Subcategories
This category has the following 3 subcategories, out of 3 total.
E
P
R
Pages in category "Lie algebras"
The following 156 pages are in this category, out of 156 total.
- Glossary of Lie algebras (computing)
- Glossary of Lie groups and Lie algebras (computing)
- Lie algebra (computing)
- Pre-Lie algebra (computing)
- Special linear Lie algebra (computing)
A
- Adjoint bundle (computing)
- Ado's theorem (computing)
- Affine Lie algebra (computing)
- Affine root system (computing)
- Algebraic character (computing)
- Anyonic Lie algebra (computing)
- Argument shift method (computing)
- Atiyah algebroid (computing)
B
- (B, N) pair (computing)
- Beilinson–Bernstein localization (computing)
- Bianchi classification (computing)
- Bivector (complex) (computing)
- Borel subalgebra (computing)
- Borel–de Siebenthal theory (computing)
C
- Capelli's identity (computing)
- Cartan decomposition (computing)
- Cartan matrix (computing)
- Cartan subalgebra (computing)
- Cartan's criterion (computing)
- Casimir element (computing)
- Centralizer and normalizer (computing)
- Chevalley basis (computing)
- Chevalley restriction theorem (computing)
- Chiral Lie algebra (computing)
- Classification of low-dimensional real Lie algebras (computing)
- Clebsch–Gordan coefficients for SU(3) (physics)
- Complexification (Lie group) (computing)
- Coset construction (computing)
- Crystal base (computing)
- Current algebra (physics)
D
- Differential graded Lie algebra (computing)
- Dixmier mapping (computing)
- Duflo isomorphism (computing)
- Dynkin diagram (computing)
E
- Engel group (computing)
- Engel identity (computing)
- Engel subalgebra (computing)
- Exceptional Lie algebra (computing)
- Exponential map (Lie theory) (computing)
F
- Folding (Dynkin diagram) (computing)
G
- Gelfand–Fuks cohomology (computing)
- Gell-Mann matrices (physics)
- Generalised Whitehead product (computing)
- Generalized Kac–Moody algebra (computing)
- Graded Lie algebra (computing)
- Group contraction (computing)
- Group of Lie type (computing)
H
- Harish-Chandra isomorphism (computing)
- Homotopy Lie algebra (computing)
- Hypoalgebra (computing)
I
- Index of a Lie algebra (computing)
- Invariant convex cone (computing)
J
- Jacobi identity (computing)
- Jacobson–Morozov theorem (computing)
- Jantzen filtration (computing)
- Jordan–Chevalley decomposition (computing)
K
- Kac–Moody algebra (computing)
- Kantor–Koecher–Tits construction (computing)
- Killing form (computing)
- Knizhnik–Zamolodchikov equations (computing)
- Kostant's convexity theorem (computing)
L
- Leibniz algebra (computing)
- Levi decomposition (computing)
- Lie algebra cohomology (computing)
- Lie algebra extension (physics)
- Lie algebra-valued differential form (computing)
- Lie algebroid (computing)
- Lie bialgebra (computing)
- Lie coalgebra (computing)
- Lie conformal algebra (physics)
- Lie group–Lie algebra correspondence (computing)
- Lie superalgebra (computing)
- Lie's third theorem (computing)
- Lie-* algebra (computing)
- Lie–Kolchin theorem (computing)
- Lie–Palais theorem (computing)
- Linear Lie algebra (computing)
- List of Lie groups topics (computing)
- Littelmann path model (computing)
- Loop algebra (computing)
M
- Macdonald identities (computing)
- Magnus expansion (physics)
- Malcev algebra (computing)
- Malcev Lie algebra (computing)
- Manin triple (computing)
- Modular Lie algebra (computing)
- Monster Lie algebra (computing)
- Moufang polygon (computing)
N
- N = 2 superconformal algebra (computing)
- Nijenhuis–Richardson bracket (computing)
- Nilpotent cone (computing)
- Nilpotent orbit (computing)
- Nilradical of a Lie algebra (computing)
O
- Orthogonal symmetric Lie algebra (computing)
P
- Parabolic Lie algebra (computing)
- Particle physics and representation theory (physics)
- Poincaré–Birkhoff–Witt theorem (computing)
- Principal subalgebra (computing)
Q
- Quadratic Lie algebra (computing)
- Quasi-Frobenius Lie algebra (computing)
- Quasi-Lie algebra (computing)
- Quillen's lemma (computing)
R
- R-algebroid (computing)
- Radical of a Lie algebra (computing)
- Real form (Lie theory) (computing)
- Regular element of a Lie algebra (computing)
- Representation theory of semisimple Lie algebras (computing)
- Restricted Lie algebra (computing)
- Restricted root system (computing)
- Ring of modular forms (computing)
- Ringel–Hall algebra (computing)
- Root system (computing)
- Root system of a semi-simple Lie algebra (computing)
S
- Satake diagram (computing)
- Serre's theorem on a semisimple Lie algebra (computing)
- Simple Lie algebra (computing)
- Simple Lie group (computing)
- Simplicial Lie algebra (computing)
- Sl2-triple (computing)
- Solvmanifold (computing)
- Special orthogonal Lie algebra (computing)
- Splitting Cartan subalgebra (computing)
- Springer resolution (computing)
- Structure constants (computing)
- Super Virasoro algebra (physics)
- Super-Poincaré algebra (computing)
- Superconformal algebra (computing)
- Supermathematics (computing)
- Supersymmetry algebra (computing)
- Supersymmetry algebras in 1 + 1 dimensions (computing)
- Symmetric cone (computing)
- Symplectic Lie algebra (computing)
T
- Table of Lie groups (computing)
- Takiff algebra (computing)
- Tate vector space (computing)
- Theorem of the highest weight (computing)
- Toda field theory (computing)
V
- Valya algebra (computing)
- Vertex operator algebra (computing)
- Virasoro algebra (computing)
- Vogan diagram (computing)
- Vogel plane (computing)
W
- Weight (representation theory) (computing)
- Weil algebra (computing)
- Weyl group (computing)
- Weyl's theorem on complete reducibility (computing)
- Whitehead product (computing)
- Whitehead's lemma (Lie algebra) (computing)
- Whitehead's lemma (Lie algebras) (computing)
- Witt algebra (computing)
Z
- Zinbiel algebra (computing)