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.

Bibliographic Information

Book Title: The Minnesota Notes on Jordan Algebras and Their Applications
Authors: Max Koecher
Editors: Aloys Krieg, Sebastian Walcher
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0096285
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1999
Softcover ISBN: 978-3-540-66360-7Published: 17 September 1999
eBook ISBN: 978-3-540-48402-8Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 184
Topics: Topological Groups, Lie Groups, Several Complex Variables and Analytic Spaces, Non-associative Rings and Algebras

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The Minnesota Notes on Jordan Algebras and Their Applications

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Table of contents (7 chapters)

Front Matter

Domains of positivity

Omega domains

Jordan algebras

Real and complex Jordan algebras

Complex Jordan algebras

Jordan algebras and omega domains

Half-spaces

Back Matter

Keywords

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