Skip to main content
SpringerLink
Log in

Jordan Triple Systems by the Grid Approach

  • Book
  • © 1987

Overview

Authors:
  1. Erhard Neher
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. Special families of compatible tripotents

    • Erhard Neher
    Pages 1-58

  3. Classification of grids

    • Erhard Neher
    Pages 59-106

  4. Coordinatization theorems

    • Erhard Neher
    Pages 107-135

  5. Classifications

    • Erhard Neher
    Pages 136-183

  6. Back Matter

    Pages 184-193
    Download chapter PDF
Back to top

Keywords

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.

Bibliographic Information

  • Book Title: Jordan Triple Systems by the Grid Approach

  • Authors: Erhard Neher

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078217

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18362-4Published: 16 September 1987

  • eBook ISBN: 978-3-540-47921-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 194

  • Topics: Algebraic Geometry, Algebra

Publish with us

Policies and ethics

Back to top

Search

Navigation