Mendeley出力
＜図書＞
Jordan triple systems by the grid approach
| 責任表示 | Erhard Neher |
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| シリーズ | Lecture notes in mathematics ; 1280 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; Tokyo : Springer-Verlag , c1987 |
| 本文言語 | 英語 |
| 大きさ | xii, 192 p. ; 25 cm |
| 概要 | 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 appli...ations 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. 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. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1280 | 1987 |
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068222187008147 |
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理系図 自動書庫 | 410.8/L 493/(1280) | 1987 |
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068582187014497 |
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書誌詳細
| 一般注記 | Bibliography: p. [184]-187 Includes index |
|---|---|
| 著者標目 | *Neher, Erhard, 1949- |
| 分 類 | DC19:510 |
| 書誌ID | 1000035374 |
| ISBN | 0387183620 |
| NCID | BA01013883 |
| 巻冊次 | : us ; ISBN:0387183620 : gw ; ISBN:3540183620 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |