The Minnesota Notes on Jordan Algebras and Their Applications / Edition 1

The Minnesota Notes on Jordan Algebras and Their Applications / Edition 1

by Aloys Krieg, Max Koecher
     
 

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

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Overview

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.

Product Details

ISBN-13:
9783540663607
Publisher:
Springer Berlin Heidelberg
Publication date:
10/18/1999
Series:
Lecture Notes in Mathematics Series, #1710
Edition description:
1999
Pages:
184
Product dimensions:
6.14(w) x 9.21(h) x 0.42(d)

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Table of Contents

Domains of Positivity.- Omega Domains.- Jordan Algebras.- Real and Complex Jordan Algebras.- Complex Jordan Algebras.- Jordan Algebras and Omega Domains.- Half-Spaces.- Appendix: The Bergman kernel function.

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