Chevalley-Eilenberg cohomology

General Introduction

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Online References

Notes introducing the Chevalley-Eilenberg cohomology of a Lie algebra

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Paper References

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Definition

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Properties

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Standard theorems

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Open Problems

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Connections to Number Theory

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Computations and Examples

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History and Applications

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Some Research Articles

[arXiv:1109.3715]http://front.math.ucdavis.edu/1109.3715) Maurer-Cartan moduli and models for function spaces from arXiv Front: math.AT by Andrey Lazarev We set up a formalism of Maurer-Cartan moduli sets for L-infinity algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley-Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.

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General Introduction