The Minnesota Notes on Jordan Algebras and Their Applications

• Main Author: Koecher, Max (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Krieg, Aloys (Editor, http://id.loc.gov/vocabulary/relators/edt), Walcher, Sebastian (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1710
• Subjects: Topological groups.; Lie groups.; Functions of complex variables.; Nonassociative rings.; Rings (Algebra).; Topological Groups, Lie Groups.; Several Complex Variables and Analytic Spaces.; Non-associative Rings and Algebras.

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-domai...

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.