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About: Index of a Lie algebra     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatLieAlgebrasyago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:Discipline105996646yago:KnowledgeDomain105999266yago:Mathematics106000644yago:PsychologicalFeature100023100yago:PureMathematics106003682yago:Science105999797 New Facet based on Instances of this Class

In algebra, let g be a Lie algebra over a field K. Let further 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