LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.48
Title	Jordan Algebras and Algebraic Groups ([EBook]) / by Tonny A. Springer.
Author	Springer, T.A. (Tonny Albert) , 1926-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1998.
Physical Details	VII, 173 pages : online resource.
Series	Classics in mathematics
ISBN	9783642619700
Summary Note	From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. 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) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one all-encompassing miracle of root systems. ..." (Math. Reviews).:
Contents note	§ 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-61970-0
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . Mathematics . Non-associative Rings and Algebras . Nonassociative rings . Rings (Algebra) . Authors: Springer, T.A. (Tonny Albert), 1926- . Springer, T.A. (Tonny Albert) 1926- . Corporate Authors: SpringerLink (Online service) . Series: Classics in mathematics . Classification: 512.48 .

Catalogue Display

Jordan Algebras and Algebraic Groups

Reviews