Category:Lie algebras

• 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)