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general/lie-algebras

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Kantor–Koecher–Tits construction
general/lie-algebras
Knizhnik–Zamolodchikov equations

Partial differential equations of correlation functions

general/lie-algebras
Structure constants

Coefficients of an algebra over a field

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Crystal base

Representation of a quantum group

general/lie-algebras
Cartan's criterion
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Atiyah algebroid
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Borel–de Siebenthal theory
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Index of a Lie algebra

none

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Levi decomposition

Mathematical method to analyse Lie groups

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Monster Lie algebra

Infinite-dimensional generalized Kac-Moody algebra

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Loop algebra

Type of Lie algebra of interest in physics

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Satake diagram

Term in mathematics

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Solvmanifold
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Generalized Kac–Moody algebra

Lie algebra with imaginary simple roots

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Cartan subalgebra

Nilpotent subalgebra of a Lie algebra

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Lie's third theorem
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Graded Lie algebra
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Nilpotent orbit
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Zinbiel algebra
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Affine Lie algebra

Type of Kac–Moody algebras

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Dynkin diagram

Pictorial representation of symmetry

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Exceptional Lie algebra

Complex simple Lie Algebra

general/lie-algebras
Sl2-triple
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Adjoint bundle
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Kac–Moody algebra

Lie algebra, usually infinite-dimensional

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Manin triple

Mathematics concept

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Leibniz algebra
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Jacobi identity

Property of some binary operations

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Dixmier mapping
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Ado's theorem
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Nilradical of a Lie algebra
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Modular Lie algebra
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Weight (representation theory)

Concept in Lie algebra representation theory

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Jacobson–Morozov theorem
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Takiff algebra
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Jantzen filtration
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Algebraic character

Mathematical concept

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Hypoalgebra
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Radical of a Lie algebra
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Lie–Kolchin theorem

Theorem in the representation theory of linear algebraic groups

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Poincaré–Birkhoff–Witt theorem

Explicitly describes the universal enveloping algebra of a Lie algebra

general/lie-algebras
Macdonald identities

Infinite product identities associated to affine root systems

general/lie-algebras