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The Minnesota Notes on Jordan Algebras and Their Applications

Posted By: step778
The Minnesota Notes on Jordan Algebras and Their Applications

Max Koecher, Aloys Krieg, Sebastian Walcher, "The Minnesota Notes on Jordan Algebras and Their Applications"
1999 | pages: 179 | ISBN: 3540663606 | PDF | 5,1 mb

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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