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AuthorNeher, Erhard. author
TitleJordan Triple Systems by the Grid Approach [electronic resource] / by Erhard Neher
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1987
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Descript XIV, 194 p. online resource


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


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

Mathematics Algebra Algebraic geometry Mathematics Algebraic Geometry Algebra


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