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Jordan Algebras and Algebraic Groups

Jordan Algebras and Algebraic Groups

Paperback

Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge, Book 75

Algebra

ISBN10: 3540636323
ISBN13: 9783540636328
Publisher: Springer Nature
Published: Dec 11 1997
Pages: 173
Weight: 0.65
Height: 0.47 Width: 6.15 Depth: 9.27
Language: English
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)

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Algebra