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Jordan Triple Systems by the Grid Approach

Jordan Triple Systems by the Grid Approach - Lecture Notes in Mathematics

1987

Paperback (16 Sep 1987)

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Publisher's Synopsis

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.

Book information

ISBN: 9783540183624
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 1987
Language: English
Number of pages: 194
Weight: 299g
Height: 234mm
Width: 156mm
Spine width: 11mm