Moufang polygons
Información General
- Autores: Jacques Tits, Richard M. Weiss
- Editores: Berlin : Springer, [2002
- Año de publicación: 2002
- País: Alemania
- Idioma: inglés
- ISBN: 3-540-43714-2
- Texto completo no disponible (Saber más ...)
Resumen
This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled and used to describe an alternative existence proof for certain Moufang polygons.
Otros catálogos
Índice
Preliminary Results.- Nine Families of Moufang Polygons.- The Classification of Moufang Polygons.- More Results on Moufang Polygons.- Moufang Polygons and Spherical Buildings.- Bibliography.- Index of Notation.- Index
