The Minnesota Notes on Jordan Algebras and Their Applications

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The Minnesota Notes on Jordan Algebras and Their Applications is written by Max Koecher and published by Springer. It's available with International Standard Book Number or ISBN identification 3540484027 (ISBN 10) and 9783540484028 (ISBN 13).

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.