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<図書>
Jordan triple systems by the grid approach

責任表示 Erhard Neher
シリーズ Lecture notes in mathematics ; 1280
データ種別 図書
出版者 Berlin ; Tokyo : Springer-Verlag
出版年 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.
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所蔵情報


理系図3F 数理独自 068222187008147 SER/LNM/1280 1987

理系図 自動書庫 068582187014497 410.8/L 493/(1280) 1987

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

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