An Embedding Theorem for Reduced Albert Algebras Over Arbitrary Fields

Holger P. Petersson
2015 Communications in Algebra  
Extending two classical embedding theorems of Albert-Jacobson and Jacobson for Albert (= exceptional simple Jordan) algebras over fields of characteristic not two to base fields of arbitrary characteristic, we show that any element of a reduced Albert algebra can be embedded into a reduced absolutely simple subalgebra of degree 3 and dimension 9 which may be chosen to be split if the Albert algebra was split to begin with.
doi:10.1080/00927872.2014.882933 fatcat:t3qy3eyxczh2zozimb2de62m4u