Gradings on the Albert algebra and on f4

We study group gradings on the Albert algebra and on the simple exceptional Lie algebra f₄ over algebraically closed fields of characteristic zero. We find eight nontoral nonequivalent gradings on the Albert algebra (three of them being fine) and nine on f₄ (also three of them fine).

gradsf4.pdf (503K)

C. Draper < cdf@uma.es >

C. Martín < candido@apncs.cie.uma.es >