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

by Aloys Krieg (Editor), Max Koecher (Author), SebastianWalcher (Editor)

• New

  Paperback
  1999

  $41.18

  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.