The Minnesota Notes on Jordan Algebras and Their Applications

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  • The Minnesota Notes on Jordan Algebras and Their Applications Book Detail

  • Author : Max Koecher
  • Release Date : 2006-11-14
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 180
  • ISBN 13 : 3540484027
  • File Size : 27,27 MB

The Minnesota Notes on Jordan Algebras and Their Applications by Max Koecher PDF Summary

Book 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.

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Statistical Applications of Jordan Algebras

Statistical Applications of Jordan Algebras

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This monograph brings together my work in mathematical statistics as I have viewed it through the lens of Jordan algebras. Three technical domains are to be see