Jordan algebras and exceptional subalgebras of the exceptional algebra<i>E</i><sub>6</sub>

Allen, Harry P; Ferrar, J. C.

doi:10.2140/pjm.1970.32.283

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1975

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Cited by 5 publications

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“…Given the connection between the Lie group E 6 , Jordan matrices, and superstrings, several authors have discussed the mathematical properties of the exceptional Lie algebra E 6 and its subalgebra F 4 [20,16,21]. However, these discussions typically involve complex Lie algebras instead of real Lie algebras.…”

Section: Discussionmentioning

confidence: 99%

The Structure of E6

Wangberg

2007

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A fundamental question related to any Lie algebra is to know its subalgebras. This is particularly true in the case of E 6 , an algebra which seems just large enough to contain the algebras which describe the fundamental forces in the Standard Model of particle physics. In this situation, the question is not just to know which subalgebras exist in E 6 but to know how the subalgebras fit inside the larger algebra and how they are related to each other.

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Section: Discussionmentioning

confidence: 99%