Bibliograph

Quadrangular algebras, Richard M. Weiss

Type

Label

Quadrangular algebras, Richard M. Weiss

Language

eng

Bibliography note

Includes bibliographical references (page 133) and index

Illustrations

illustrations

Index

index present

Literary Form

non fiction

Main title

Quadrangular algebras

Nature of contents

dictionariesbibliography

Oclc number

362799544

Responsibility statement

Richard M. Weiss

Series statement

Mathematical notes, 46Princeton paperbacks

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 in

Table Of 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

Classification

Creator