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

Published 7 Sep 2010 in math.RA | (1009.1218v3)

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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