Jordan Triple Systems by the Grid Approach / by Erhard Neher.

Format:

Book

Author/Creator:

Neher, Erhard, 1949- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1280.

Lecture Notes in Mathematics, 0075-8434 ; 1280

Language:

English

Subjects (All):

Geometry, Algebraic.

Algebra.

Algebraic Geometry.

Local Subjects:

Algebraic Geometry.

Algebra.

Physical Description:

1 online resource (XIV, 194 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987.

System Details:

text file PDF

Summary:

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.

Contents:

Special families of compatible tripotents

Classification of grids

Coordinatization theorems

Classifications.

Other Format:

Printed edition:

ISBN:

9783540479215

Access Restriction:

Restricted for use by site license.