On derivation algebras of some exceptional Jordan algebras in characteristic two

We analyze the problem of the simplicity of f4 in the split characteristic two case. By using quadratic Jordan algebras, we have proved that the derivation Lie algebra is not simple in this case. Moreover, there exists only one proper nonzero ideal I which is 26-dimensional, simple as a Lie algebra and such that the quotient algebra f4/I is also simple and isomorphic to I.

f4split2.dvi (80K)

P. Alberca Bjerregaard < pgalberca@uma.es >

C. Martín González < candido@apncs.cie.uma.es >