Jordan Algebras and Algebraic Groups

x 0. Preliminaries.- x 1. J-structures.- x 2. Examples.- x 3. The Quadratic Map of a J-structure.- x 4. The Lie Algebras Associated with a J-structure.- x 5. J-structures of Low Degree.- x 6. Relation with Jordan Algebras (Characteristic ? 2).- x 7. Relation with Quadratic Jordan Algebras.- x 8. The Minimum Polynomial of an Element.- x 9. Ideals, the Radical.- x10. Peirce Decomposition Defined by an Idempotent Element.- x11. Classification of Certain Algebraic Groups.- x12. Strongly Simple J-structures.- x13. Simple J-structures.- x14. The Structure Group of a Simple J-structure and the Related Lie Algebras.- x15. Rationality Questions.