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＜電子ブック＞
Jordan Triple Systems by the Grid Approach / by Erhard Neher
(Lecture Notes in Mathematics. ISSN:16179692 ; 1280)

版	1st ed. 1987.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1987
大きさ	XIV, 194 p : online resource
著者標目	*Neher, Erhard author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Algebra FREE:Algebraic Geometry FREE:Algebra
一般注記	Special families of compatible tripotents -- Classification of grids -- Coordinatization theorems -- Classifications 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 HTTP:URL=https://doi.org/10.1007/BFb0078217

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