(Q552787)

English

Maurer–Cartan form

on a Lie group G, a canonical 1-form valued in its own Lie algebra; the unique principal-bundle connection on the unique G-bundle over the one-point space

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instance of

one-form

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Lie algebra-valued differential form

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principal bundle connection

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\omega =g^{-1}\mathrm {d} g

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\mathrm {d} \omega +{\frac {1}{2}}[\omega \wedge \omega ]=0

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in defining formula

\omega

symbol represents

Maurer–Cartan form

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\mathrm {d}

symbol represents

exterior derivative

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

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28 October 2013

Microsoft Academic ID

105740227

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nLab ID

Maurer-Cartan form

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(Q552787)

Maurer–Cartan form

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