| Description |
1 online resource (x, 131 pages, 2 unnumbered pages) : illustrations. |
| Series |
Mathematical notes ; 46 |
|
Princeton paperbacks |
|
Mathematical notes (Princeton University Press) ; 46.
|
|
Princeton paperbacks.
|
| Bibliography |
Includes bibliographical references (page 133) and index. |
| Note |
Print version record. |
| Contents |
Contents; Preface; Chapter 1. Basic Definitions; Chapter 2. Quadratic Forms; Chapter 3. Quadrangular Algebras; Chapter 4. Proper Quadrangular Algebras; Chapter 5. Special Quadrangular Algebras; Chapter 6. Regular Quadrangular Algebras; Chapter 7. Defective Quadrangular Algebras; Chapter 8. Isotopes; Chapter 9. Improper Quadrangular Algebras; Chapter 10. Existence; Chapter 11. Moufang Quadrangles; Chapter 12. The Structure Group; Bibliography; Index. |
| Summary |
This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong inches. |
| Subject |
Forms, Quadratic.
|
|
Algebra.
|
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MATHEMATICS -- Number Theory.
|
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MATHEMATICS -- Algebra -- General.
|
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Algebra. (OCoLC)fst00804885
|
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Forms, Quadratic. (OCoLC)fst00932985
|
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Kwadratische vormen.
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Algebraïsche structuren.
|
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Weiss, Richard M. (Richard Mark), 1946- Quadrangular algebras. Princeton, N.J. : Princeton University Press, ©2006 0691124604 9780691124605 (DLC) 2005046572 (OCoLC)58832286 |
| ISBN |
9781400826940 (electronic bk.) |
|
1400826942 (electronic bk.) |
|
