Maximal finite abelian subgroups of E8

Abstract

The maximal finite abelian subgroups, up to conjugation, of the simple algebraic group of type E8 over an algebraically closed field of characteristic 0 are computed. This is equivalent to the determination of the fine gradings on the simple Lie algebra of type E8 with trivial neutral homogeneous component.

20 pages

References in corpus (1)

• A ${\mathbb{Z}}_4^3$-grading on a 56-dimensional simple structurable algebra and related fine gradings on the simple Lie algebras of type E

Cited by in corpus (4)

• Symmetries on the real form ${\mathfrak{e}}_{6,-26}$
• Fine gradings and automorphism groups on associative algebras
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$
• Fine gradings on the simple Lie algebras of type $E$