The Minnesota notes on Jordan algebras and their applications
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Bibliographic Information
The Minnesota notes on Jordan algebras and their applications
（Lecture notes in mathematics, 1710）
Springer, c1999
Available at / 83 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1710RM991008
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Note
Includes bibliographical references (p. [163]-169) and index
Description and Table of Contents
Description
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.
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.
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