Gradings on the Albert Algebra and on $f_4$

Abstract

We study group gradings on the Albert algebra and on the simple exceptional Lie algebra $\frak{f}_4$ over algebraically closed fields of characteristic zero. There are eight nontoral nonequivalent gradings on the Albert algebra (three of them being fine) and nine on $\frak{f}_4$ (also three of them fine).

Identifiers

DOI

10.48550/arxiv.math/0703840

Citations and references