Lie algebra cohomology

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Chevalley–Eilenberg complex

Field Vector space Canonically isomorphic Tensor product Dual vector space

11 related topics

Definition

Lie algebra over a commutative ring Universal enveloping algebra Ext functor Derived functors Tor functor

9 related topics

Motivation

Compact Simply connected De Rham cohomology Differential forms Left-invariant differential forms

6 related topics

Examples

Simple Lie algebras Abelian Abelian group Adjoint action Outer derivations

5 related topics

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Chevalley–Eilenberg complex

Field Field (mathematics)
Vector space
Canonically isomorphic Canonical isomorphism
Tensor product
Dual vector space
Transpose Transpose of a linear map
Jacobi identity
Graded Leibniz rule Differential graded algebra
Real Real number
Fiber bundle
Connection Connection (mathematics)

Cohomology in small dimensions

Equivalence classes Equivalence class
Lie algebra extensions Lie algebra extension
Homotopy Lie algebra

Examples

Simple Lie algebras Simple Lie algebra
Abelian Abelian Lie algebra
Abelian group
Adjoint action
Outer derivations Automorphism of a Lie algebra

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Avg. degree1.96

Density0.037736

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