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E7½

Index E7½

In mathematics, the Lie algebra E7½ is a subalgebra of E8 containing E7 defined by Landsberg and Manivel in order to fill the "hole" in a dimension formula for the exceptional series E''n'' of simple Lie algebras. [1]

6 relations: Glossary of semisimple groups, Pierre Deligne, Predrag Cvitanović, Simple Lie group, Vogel plane, 57 (number).

Glossary of semisimple groups

This is a glossary for the terminology applied in the mathematical theories of semisimple Lie groups.

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Pierre Deligne

Pierre René, Viscount Deligne (born 3 October 1944) is a Belgian mathematician.

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Predrag Cvitanović

Predrag Cvitanović (born April 1, 1946) is a theoretical physicist regarded for his work in nonlinear dynamics, particularly his contributions to periodic orbit theory.

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Simple Lie group

In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.

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Vogel plane

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.

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57 (number)

57 (fifty-seven) is the natural number following 56 and preceding 58.

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Redirects here:

E 7.5, E7 1/2, E7.5, E71/2, E71/2 (Lie algebra), E7½ (Lie algebra), Sextonion.

References

[1] https://en.wikipedia.org/wiki/E7½

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