Jordan Algebras and Algebraic Groups/

Jordan Algebras and Algebraic Groups/ Springer,Tonny A. - New York: Springer, 1998. - 168

0. Preliminaries.- 1. J-structures.- 2. Examples.- 3. The Quadratic Map of a J-structure.- 4. The Lie Algebras Associated with a J-structure.- 5. J-structures of Low Degree.- 6. Relation with Jordan Algebras (Characteristic ? 2).- 7. Relation with Quadratic Jordan Algebras.- 8. The Minimum Polynomial of an Element.- 9. Ideals, the Radical.- 10. Peirce Decomposition Defined by an Idempotent Element.- 11. Classification of Certain Algebraic Groups.- 12. Strongly Simple J-structures.- 13. Simple J-structures.- 14. The Structure Group of a Simple J-structure and the Related Lie Algebras.- 15. Rationality Questions.

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512 / SPR/J
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