Jordan triple systems by the grid approach
Author(s)
Bibliographic Information
Jordan triple systems by the grid approach
（Lecture notes in mathematics, 1280）
Springer-Verlag, c1987
- : us
- : gw
Available at / 64 libraries
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Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009466356
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||12809788888112
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/N3952070066033
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Note
Bibliography: p. [184]-187
Includes index
Description and Table of Contents
Description
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.
Table of Contents
Special families of compatible tripotents.- Classification of grids.- Coordinatization theorems.- Classifications.
by "Nielsen BookData"