
The Minnesota Notes on Jordan Algebras and Their Applications
Max Koecher(Author)
Springer (Publisher)
Published on 17. September 1999
Book
Paperback/Softback
XII, 184 pages
978-3-540-66360-7 (ISBN)
Description
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.
More details
Series
Edition
1999 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 184 p.
Dimensions
Height: 233 mm
Width: 155 mm
Thickness: 11 mm
Weight
304 gr
ISBN-13
978-3-540-66360-7 (9783540663607)
DOI
10.1007/BFb0096285
Schweitzer Classification
Other editions
Additional editions

Max Koecher | Aloys Krieg | Sebastian Walcher
The Minnesota Notes on Jordan Algebras and Their Applications
E-Book
11/2006
Springer
€35.30
Available for download
Persons
Max Koecher (born 1924) studied mathematics and physics at the University of Göttingen. He initially worked on modular forms of several variables, leaving his mark with a well-known principle bearing his name. Later on, he concentrated on Jordan algebras and in particular their connections with bounded symmetric domains. In 1970, he was appointed to Hans Petersson's chair at the University of Münster. He retired in 1989 and passed away shortly thereafter.
Aloys Krieg (born 1955) studied mathematics at the University of Münster. He was the last PhD student of Max Koecher. He has mainly worked on modular forms of several variables. In 1993, he was appointed to Paul Butzer's chair at RWTH Aachen University, where he served as Vice President for Education for 16 years. He retired in 2024.
Content
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.