© 1987

Jordan Triple Systems by the Grid Approach

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1280)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Erhard Neher
    Pages 59-106
  3. Erhard Neher
    Pages 107-135
  4. Erhard Neher
    Pages 136-183
  5. Back Matter
    Pages 184-193

About this book


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.


Algebra Manifold calculus function functional analysis geometry theorem

Bibliographic information

  • Book Title Jordan Triple Systems by the Grid Approach
  • Authors Erhard Neher
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-18362-4
  • eBook ISBN 978-3-540-47921-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XIV, 194
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
  • Buy this book on publisher's site
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