Display title | Index of a Lie algebra |
Default sort key | Index Of A Lie Algebra |
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Page ID | 226090 |
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Page creator | imported>Len Stevenson |
Date of page creation | 18:06, 6 February 2024 |
Latest editor | imported>Len Stevenson |
Date of latest edit | 18:06, 6 February 2024 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | 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}}: |