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- catalog abstract "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.".
- catalog contributor b1857958.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "Bibliography: p. [184]-187.".
- catalog description "Contents: Special Families of Compatible Tripotents -- Classification of Grids -- Coordinization Theorems -- Classifications -- References -- Index -- List of Symbols .".
- catalog 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.".
- catalog extent "xii, 192 p. ;".
- catalog hasFormat "Jordan triple systems by the grid approach.".
- catalog identifier "0387183620 (U.S.) :".
- catalog identifier "3540183620".
- catalog isFormatOf "Jordan triple systems by the grid approach.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1280.".
- catalog isPartOf "Lecture notes in mathematics ; 1280".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Jordan triple systems by the grid approach.".
- catalog subject "510 s 512/.53 19".
- catalog subject "Algebra.".
- catalog subject "Jordan algebras.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1280 QA252.5".
- catalog subject "Surfaces, Ruled.".
- catalog tableOfContents "Contents: Special Families of Compatible Tripotents -- Classification of Grids -- Coordinization Theorems -- Classifications -- References -- Index -- List of Symbols .".
- catalog title "Jordan triple systems by the grid approach / Erhard Neher.".
- catalog type "text".