A taste of Jordan algebras

Kevin mccrimmon - Collection Universitext

563 pages, parution le 28/12/2003

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Résumé

In this book, Kevin McCrimmon describes the history of Jordan algebras, and he describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. To keep the exposition elementary, the structure theory is developed for linear Jordan algebras, though the modern quadratic methods are used throughout. Both the quadratic methods and the Zel'manov results go beyond the previous textbooks on Jordan theory, written in the 1960s and 1980s before the theory reached its final form.

This book is intended for graduate students and for individuals wishing to learn more about Jordan algebras. No previous knowledge is required beyond the standard fïrst-year graduate algebra course. General students of algebra can profit from exposure to nonassociative algebras, and students or professional mathematicians working in areas such as Lie algebras, differential geometry, functional analysis, or exceptional groups and geometry can also profit from acquaintance with the material. Jordan algebras crop up in many surprising set-tings and can be applied to a variety of mathematical areas.

Introduction
A Colloquial Survey of Jordan Theory
The Historical Perspective: An Historical Survey of Jordan Structure Theory
The Classical Theory
Zel'manov's Exceptional Theorem
Appendices
Indexes

L'auteur - Kevin mccrimmon

Kevin McCrimmon introduced the concept of a quadratic Jordan algebra and developed a structure theory of Jordan algebras over an arbitrary ring of scalars. He is professor of Mathematics at the Universty of Virginia and the author of more than 100 research papers.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Kevin mccrimmon
Collection	Universitext
Parution	28/12/2003
Nb. de pages	563
Format	16 x 24,4
Couverture	Relié
Poids	930g
Intérieur	Noir et Blanc
EAN13	9780387954479
ISBN13	978-0-387-95447-9