Jordan Triple Systems by the Grid Approach
(Sprache: Englisch)
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...
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Klappentext zu „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 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.
Inhaltsverzeichnis zu „Jordan Triple Systems by the Grid Approach “
- Special Families of Compatible Tripotents- Classification of Grids
- Coordinization Theorems
- Classifications
- References
- Index
- List of Symbols
Bibliographische Angaben
- Autor: Erhard Neher
- 1987, 208 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540183620
- ISBN-13: 9783540183624
- Erscheinungsdatum: 16.09.1987
Sprache:
Englisch
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