Max Koecher

The Minnesota Notes on Jordan Algebras and Their Applications

Herausgeber: Walcher, Sebastian; Krieg, Aloys

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1710
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-66360-7
• 1999.
• Seitenzahl: 196
• Erscheinungstermin: 17. September 1999
• Englisch
• Abmessung: 233mm x 155mm x 11mm
• Gewicht: 310g
• ISBN-13: 9783540663607
• ISBN-10: 3540663606
• Artikelnr.: 09221187

Inhaltsangabe

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.