The Minnesota Notes on Jordan Algebras and Their Applications

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.

List 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.

Product details

• Authors: Max Koecher
• Assisted by: Aloy Krieg (Editor), Aloys Krieg (Editor), Walcher (Editor), Walcher (Editor), Sebastian Walcher (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 20.11.2001
• EAN: 9783540663607
• ISBN: 978-3-540-66360-7
• No. of pages: 184
• Dimensions: 150 mm x 236 mm x 13 mm
• Weight: 310 g
• Illustrations: XII, 184 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra