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arXiv · 1009.1218

Gradings on the exceptional Lie algebras $F_4$ and $G_2$ revisited

Alberto Elduque·Mikhail Kochetov
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Abstract

All gradings by abelian groups are classified on the following algebras over an algebraically closed field of characteristic not 2: the simple Lie algebra of type $G_2$ (characteristic not 3), the exceptional simple Jordan algebra, and the simple Lie algebra of type $F_4$.

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Alberto Elduque, Mikhail Kochetov. 2011-04-13. Gradings on the exceptional Lie algebras $F_4$ and $G_2$ revisited. https://doi.org/10.4171/rmi%2F701

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