Jordan triple systems by the grid approach / / Erhard Neher

• Autore: Neher Erhard <1949->
• Pubblicazione: Berlin, Heidelberg : , : Springer-Verlag, , [1987]; ©1987
• Edizione: 1st ed. 1987.
• Descrizione fisica: 1 online resource (XIV, 194 p.)
• Disciplina: 512.24
• Soggetto topico: Jordan algebras
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Special families of compatible tripotents -- Classification of grids -- Coordinatization theorems -- Classifications.
• Sommario/riassunto: 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.
• Titolo autorizzato: Jordan triple systems by the grid approach
• ISBN: 3-540-47921-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466480703316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1280.