© 1999

The Minnesota Notes on Jordan Algebras and Their Applications

  • Authors
  • Editors
  • Aloys Krieg
  • Sebastian Walcher

Part of the Lecture Notes in Mathematics book series (LNM, volume 1710)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Max Koecher
    Pages 1-33
  3. Max Koecher
    Pages 35-51
  4. Max Koecher
    Pages 53-72
  5. Max Koecher
    Pages 73-92
  6. Max Koecher
    Pages 93-108
  7. Max Koecher
    Pages 109-126
  8. Max Koecher
    Pages 127-155
  9. Back Matter
    Pages 157-175

About this book


This volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter containing an account of the relevant developments of the theory since these notes were first written.


Poisson kernel Volume algebra construction development function integral transform kernel object

Bibliographic information