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The Minnesota Notes on Jordan Algebras and Their Applications

The Minnesota Notes on Jordan Algebras and Their Applications

Paperback

Series: Lecture Notes in Mathematics, Book 1710

AlgebraGeneral Mathematics

ISBN10: 3540663606
ISBN13: 9783540663607
Publisher: Springer
Published: Sep 17 1999
Pages: 184
Weight: 0.63
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
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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