Jordan triple systems by the grid approach

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 e...

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Detalles Bibliográficos
Autor Principal: Neher, Erhard, 1949-...., mathématicien
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1280
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Edition sous un autre format:• Jordan triple systems by the grid approach, Erhard Neher, 1987, Berlin, Springer, 1 volume (XII-192 pages), Lecture notes in mathematics, 0-387-18362-0
• Jordan Triple Systems by the Grid Approach, Texte imprimé, 9783662191019
Descripción
Résumé: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.
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ISBN:9783540479215 (PDF)
ISSN:1617-9692
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