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Jordan Triple Systems by the Grid Approach

By Erhard Neher

Product Image: Jordan Triple Systems by the Grid Approach

Jordan Triple Systems by the Grid Approach

0 - Default Title
Description
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
Binding:
Paperback
Edition:
1
Number of Pages:
208
Release Date:
2008-10-10
Publication Date:
1987-09-16
Publisher:
Springer
Languages:
Original: English
ISBN10:
3540183620
ISBN13:
9783540183624
GPSR Manufacturer Reference:
[email protected]
Weight:
324 g
Height:
155 cm
Width:
235 cm
Thickness:
12 cm
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