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

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

2010-09-07

arxiv.org/abs/1009.1218v3

Mathematics

Rings and Algebras

36 pages. References expanded and updated

Scientific paper

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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