The Minnesota Notes on Jordan Algebras and Their Applications
Author | : Max Koecher |
Publisher | : Springer |
Total Pages | : 180 |
Release | : 2006-11-14 |
ISBN-10 | : 9783540484028 |
ISBN-13 | : 3540484027 |
Rating | : 4/5 (28 Downloads) |
Book excerpt: 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.