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- W2963507743 abstract "For certain Lie algebras g , we can use a grading g = g − 2 ⊕ g − 1 ⊕ g 0 ⊕ g 1 ⊕ g 2 and define a quartic form and a skew-symmetric bilinear form on g 1 , thereby constructing a Freudenthal triple system. The structure of the Freudenthal triple system is examined using root system methods available in the Lie algebra context. In the cases g = E 8 (where g 1 is the minuscule representation of E 7 ) and g = D 4 , we determine the groups stabilizing the quartic form and both the quartic and bilinear forms." @default.
- W2963507743 created "2019-07-30" @default.
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- W2963507743 date "2012-05-01" @default.
- W2963507743 modified "2023-09-28" @default.
- W2963507743 title "Freudenthal triple systems by root system methods" @default.
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- W2963507743 doi "https://doi.org/10.1016/j.jalgebra.2012.01.025" @default.
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