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- Vogel_plane abstract "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 (α: β: γ) 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 plane (modulo permutations) corresponding to a simple complex Lie algebra is given by three eigenvalues α, β, γ of the Casimir operator acting on spaces A, B, C, where the symmetric square of the Lie algebra (usually) decomposes as a sum of the complex numbers and 3 irreducible spaces A, B, C.".
- Vogel_plane wikiPageID "31677432".
- Vogel_plane wikiPageRevisionID "596867109".
- Vogel_plane hasPhotoCollection Vogel_plane.
- Vogel_plane subject Category:Lie_algebras.
- Vogel_plane subject Category:Lie_groups.
- Vogel_plane type Abstraction100002137.
- Vogel_plane type Algebra106012726.
- Vogel_plane type Cognition100023271.
- Vogel_plane type Content105809192.
- Vogel_plane type Discipline105996646.
- Vogel_plane type Group100031264.
- Vogel_plane type KnowledgeDomain105999266.
- Vogel_plane type LieAlgebras.
- Vogel_plane type LieGroups.
- Vogel_plane type Mathematics106000644.
- Vogel_plane type PsychologicalFeature100023100.
- Vogel_plane type PureMathematics106003682.
- Vogel_plane type Science105999797.
- Vogel_plane comment "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 (α: β: γ) 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.".
- Vogel_plane label "Vogel plane".
- Vogel_plane sameAs m.0gmbxqw.
- Vogel_plane sameAs Q7939378.
- Vogel_plane sameAs Q7939378.
- Vogel_plane sameAs Vogel_plane.
- Vogel_plane wasDerivedFrom Vogel_plane?oldid=596867109.
- Vogel_plane isPrimaryTopicOf Vogel_plane.