Gradings on symmetric composition algebras

Abstract

The group gradings on the symmetric composition algebras over arbitrary fields are classified. Applications of this result to gradings on the exceptional simple Lie algebras are considered too.

37 pages

References in corpus (1)

• Gradings on the Albert Algebra and on $f_4$

Cited by in corpus (2)

• Jordan gradings on exceptional simple Lie algebras
• Tits construction of the exceptional simple Lie algebras