On some algebras related to simple Lie triple systems
The set of nonassociative multiplications defined
on any simple finite dimensional Lie triple system T over a
field F of characteristic zero for which Der(T) acts as
derivations is determined. It turns out that it contains
nontrivial elements if and only if T is related to
a simple Jordan algebra. In particular, this provides a new proof of the
determination by Laquer of the invariant affine connections in the simply
connected compact irreducible Riemannian symmetric spaces.
M.P. Benito <mpbenito@dmc.unirioja.es>
C. Draper <cdraper@dmc.unirioja.es>
A. Elduque <elduque@posta.unizar.es>