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.
• Physical Description: XII, 184 p. online resource.
• ISBN: 9783540484028
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096285

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.