Jordan triple systems by the grid approach / Erhard Neher
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1280Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1987ISBN: 9783540479215.ISSN: 1617-9692.Sujet MSC : 17A40, General nonassociative rings, Ternary compositions17C65, Nonassociative rings and algebras - Jordan algebras, Jordan structures on Banach spaces and algebras
46L35, Functional analysis - Selfadjoint operator algebras, Classifications of C*-algebras
17C10, Nonassociative rings and algebras - Jordan algebras, Structure theory
17-02, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebrasEn-ligne : Springerlink | Zentralblatt | MathSciNet
The author introduces grids as special families of tripotents in Jordan triple systems. He develops grids as a tool to coordinize and classify Jordan triple systems.
In chapter I the basic properties of grids are developed. In chapter II grids are classified: every connected grid is associated to one of 7 standard grids. In chapter III coordinatization theorems for grids are proved: the cover of a standard grid is a standard example, except for the hermitian grid where one needs additional hypotheses. The last chapter contains classifications of the following classes of Jordan triple systems: simple Jordan triple systems over a ring which are covered by a grid, Hilbert triples and atomic JBW * -triples. (Zentralblatt)
There are no comments on this title.