Description
Book SynopsisBased on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras, this book introduces a class of non-associative algebras related to exceptional algebraic groups and their associated buildings.
Trade Review"[T]here have been many results on finite generalized quadrangles that fill a well-needed gap in the mathematical literature, but this monograph is much deeper and will enable progress to be made in a difficult technical area where some exotic forms of algebraic groups have hitherto been little understood."--Robert L. Devaney, Bulletin of the AMS
Table of ContentsPreface vii Chapter 1. Basic Definitions 1 Chapter 2. Quadratic Forms 11 Chapter 3. Quadrangular Algebras 21 Chapter 4. Proper Quadrangular Algebras 29 Chapter 5. Special Quadrangular Algebras 37 Chapter 6. Regular Quadrangular Algebras 45 Chapter 7. Defective Quadrangular Algebras 59 Chapter 8. Isotopes 77 Ch apter 9. Improp er Quadrangu lar Algebras 83 Chapter 10. Existence 95 Chapter 11. Moufang Quadrangles 109 Chapter 12. The Structure Group 125 Bibliography 133 Index 134
