Jordan Algebras and Algebraic Groups / Edition 1

Jordan Algebras and Algebraic Groups / Edition 1

5.0 7
by Tonny A. Springer, T. A. Springer
     
 

ISBN-10: 3540636323

ISBN-13: 9783540636328

Pub. Date: 12/11/1997

Publisher: Springer Berlin Heidelberg

From the reviews: "This book presents an important and novel approach to Jordan algebras. […] Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over

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Overview

From the reviews: "This book presents an important and novel approach to Jordan algebras. […] Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." American Scientist

Product Details

ISBN-13:
9783540636328
Publisher:
Springer Berlin Heidelberg
Publication date:
12/11/1997
Series:
Classics in Mathematics Series
Edition description:
Reprint of the 1st ed. Berlin, Heidelberg, New York 1973.
Pages:
173
Product dimensions:
6.15(w) x 9.27(h) x 0.47(d)

Table of Contents

§ 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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