The Minnesota Notes on Jordan Algebras and Their Applications (Lecture Notes in Mathematics, 1710)

Koecher, Max; Krieg, Aloys [Editor]; Walcher, Sebastian [Editor];

ISBN 10: 3540663606 / ISBN 13: 9783540663607

Published by Springer, 1999

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Bibliographic Details

• Title: The Minnesota Notes on Jordan Algebras and Their Applications (Lecture Notes in Mathematics, 1710)
• Publisher: Springer
• Publication Date: 1999
• Language: English
• ISBN 10: 3540663606
• ISBN 13: 9783540663607
• Binding: paperback
• Condition: New
• Weight: 10 ounces

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Synopsis

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.