Jordan triple systems with completely reducible derivation or structure algebras

E. Neher

Vol. 113 (1984), No. 1, 137–164

DOI: 10.2140/pjm.1984.113.137

Abstract

We prove that a finite-dimensional Jordan triple system over a field k of characteristic zero has a completely reducible structure algebra iff it is a direct sum of a trivial and a semisimple ideal. This theorem depends on a classification of Jordan triple systems with completely reducible derivation algebra in the case where k is algebraically closed. As another application we characterize real Jordan triple systems with compact automorphism group.

Mathematical Subject Classification 2000

Primary: 17C99

Milestones

Received: 6 April 1982

Revised: 27 January 1983

Published: 1 July 1984