Franklin

Jordan Triple Systems by the Grid Approach [electronic resource] / by Erhard Neher.

Author/Creator:
Neher, Erhard. author., Author,
Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987.
Format/Description:
Book
1 online resource (XIV, 194 pages)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1280
Lecture Notes in Mathematics, 0075-8434 ; 1280
Contained In:
Springer eBooks
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Subjects:
Geometry, algebraic.
Algebra.
Local subjects:
Algebraic Geometry. (search)
Algebra. (search)
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.
Contributor:
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
ISBN:
9783540479215
Publisher Number:
10.1007/BFb0078217 doi
Access Restriction:
Restricted for use by site license.