Information for "Index of a Lie algebra"

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Display titleIndex of a Lie algebra
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Page creatorimported>Len Stevenson
Date of page creation18:06, 6 February 2024
Latest editorimported>Len Stevenson
Date of latest edit18:06, 6 February 2024
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In algebra, let g be a Lie algebra over a field K. Let further $ \xi \in {\mathfrak {g}}^{*} $ be a one-form on g. The stabilizer gξ of ξ is the Lie subalgebra of elements of g that annihilate ξ in the coadjoint representation. The index of the Lie algebra is $ \operatorname {ind} {\mathfrak {g}}:
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