Jordan triple systems by the grid approach /

Saved in:
Bibliographic Details
Author / Creator:Neher, Erhard, 1949-
Imprint:Berlin ; New York : Springer-Verlag, ©1987.
Description:1 online resource (xii, 192 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1280
Lecture notes in mathematics (Springer-Verlag) ; 1280.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070622
Hidden Bibliographic Details
ISBN:9783540479215
354047921X
0387183620
9780387183626
3540183620
9783540183624
Notes:Includes bibliographical references (pages 184-187) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
Summary: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.
Other form:Print version: Neher, Erhard, 1949- Jordan triple systems by the grid approach. Berlin ; New York : Springer-Verlag, ©1987 0387183620