Vogel plane

id: vogel-plane-282-709793
title: Vogel plane
text: In mathematics, the Vogel plane is a method of parameterizing simple Lie algebras by eigenvalues α, β, γ of the Casimir operator on the symmetric square of the Lie algebra, which gives a point of P2/S3, the projective plane P2 divided out by the symmetric group S3 of permutations of coordinates. It was introduced by Vogel (1999), and is related by some observations made by Deligne (1996). Landsberg & Manivel (2006) generalized Vogel's work to higher symmetric powers. The point of the projective
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original url: https://en.wikipedia.org/wiki/Vogel_plane
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date modified: 2023-12-28T11:17:43Z
main entity: {"identifier":"Q7939378","url":"https://www.wikidata.org/entity/Q7939378"}
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