Jordan Triple Systems by the Grid Approach / Edition 1

Jordan Triple Systems by the Grid Approach / Edition 1

by Erhard Neher
     
 

ISBN-10: 3540183620

ISBN-13: 9783540183624

Pub. Date: 10/16/1987

Publisher: Springer Berlin Heidelberg

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan

Overview

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.

Product Details

ISBN-13:
9783540183624
Publisher:
Springer Berlin Heidelberg
Publication date:
10/16/1987
Series:
Lecture Notes in Mathematics Series, #1280
Edition description:
1987
Pages:
194
Product dimensions:
6.14(w) x 9.21(h) x 0.44(d)

Related Subjects

Table of Contents

Special families of compatible tripotents.- Classification of grids.- Coordinatization theorems.- Classifications.

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