ABSTRACT
We shall be interested in certain Lie algebras, particularly, certain exceptional simple Lie algebras defined by Jordan algebras and by alternative algebras. We recall that an algebra is Jordan if the base field is of characteristic not two and the multiplication a ⋅ b satisfies () a ⋅ b = b ⋅ a , ( a 2 ⋅ b ) ⋅ a = a 2 ⋅ ( b ⋅ a ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203756478/4cadc9cc-32ae-4840-8f83-07e1ed499955/content/eq1.tif"/>
