Jordan triple systems by the grid approach
著者
書誌事項
Jordan triple systems by the grid approach
（Lecture notes in mathematics, 1280）
Springer-Verlag, c1987
- : us
- : gw
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注記
Bibliography: p. [184]-187
Includes index
内容説明・目次
内容説明
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.
目次
Special families of compatible tripotents.- Classification of grids.- Coordinatization theorems.- Classifications.
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