An embedding theorem for reduced Albert algebras over arbitrary
fields
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.
Holger P. Petersson < holger.petersson@fernuni-hagen.de >