JournalsrmiVol. 28, No. 3pp. 773–813

Gradings on the exceptional Lie algebras F4F_4 and G2G_2 revisited

  • Alberto Elduque

    Universidad de Zaragoza, Spain
  • Mikhail Kochetov

    Memorial University of Newfoundland, St. John's, Canada
Gradings on the exceptional Lie algebras $F_4$ and $G_2$ revisited cover
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Abstract

All gradings by abelian groups are classified on the following algebras over an algebraically closed field F\mathbb{F}: the simple Lie algebra of type G2G_2 (char F2,3\mathbb{F}\ne 2,3), the exceptional simple Jordan algebra (char F2\mathbb{F}\ne 2), and the simple Lie algebra of type F4F_4 (char F2\mathbb{F} \ne 2).

Cite this article

Alberto Elduque, Mikhail Kochetov, Gradings on the exceptional Lie algebras F4F_4 and G2G_2 revisited. Rev. Mat. Iberoam. 28 (2012), no. 3, pp. 773–813

DOI 10.4171/RMI/691