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- W4300477488 abstract "For certain Lie algebras g, we can use a Z/5Z-grading and define a quartic form and a skew-symmetric bilinear form on the degree 1 component, 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.
- W4300477488 created "2022-10-03" @default.
- W4300477488 creator A5038593873 @default.
- W4300477488 date "2010-05-07" @default.
- W4300477488 modified "2023-09-27" @default.
- W4300477488 title "Freudenthal triple systems by root system methods" @default.
- W4300477488 doi "https://doi.org/10.48550/arxiv.1005.1275" @default.
- W4300477488 hasPublicationYear "2010" @default.
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