Jordan Algebras and Algebraic Groups

Springer, Tonny A.

ISBN 10: 3540636323 / ISBN 13: 9783540636328

Published by Springer, 1997

About this Item

Zustand: Gut | Sprache: Englisch | Produktart: Bücher | 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).

Seller Inventory # 808663/3

Bibliographic Details

• Title: Jordan Algebras and Algebraic Groups
• Publisher: Springer
• Publication Date: 1997
• Language: English
• ISBN 10: 3540636323
• ISBN 13: 9783540636328
• Binding: Soft cover
• Condition: Gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

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)

About the Author

Biography of Tonny A. Springer

Born on February 13, 1926 at the Hague, Holland, Tonny A. Springer studied mathematics at the University of Leiden, obtaining his Ph. D. in 1951. He has been at the University of Utrecht since 1955, from 1959-1991 as a full professor, and since 1991 as an emeritus professor.
He has held visiting positions at numerous prestigious institutions all over the globe, including the Institute for Advanced Study (Princeton), the Institut des Hautes Etudes Scientifiques (Bures-sur-Yvette) and the Tata Institute of Fundamental Research (Bombay).
Throughout his career T. A. Springer has been involved in research on various aspects of the theory of linear algebraic groups (conjugacy classes, Galois cohomology, Weyl groups).