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Jordan Triple Systems by the Grid Approach / by Erhard Neher
(Lecture Notes in Mathematics. ISSN:16179692 ; 1280)
版 | 1st ed. 1987. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540479215 |
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EB00210472 |
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※2017年9月4日以降