Resumen de Simple Decompositions of the Exceptional Jordan Algebra

Marina V. Tvalavadze

• This paper presents some results on the simple exceptional Jordan algebra over an algebraically closed field Phi of characteristic not 2. Namely an example of simple decomposition of H(O3) into the sum of two subalgebras of the type H(Q3) is produced, and it is shown that this decomposition is the only one possible in terms of simple subalgebras.