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The Minnesota Notes on Jordan Algebras and Their Applications
Max Koecher
出版
Springer Science & Business Media
, 1999-09-17
主題
Mathematics / Algebra / General
Mathematics / Algebra / Abstract
Mathematics / Group Theory
Mathematics / Mathematical Analysis
Mathematics / Topology
Mathematics / Essays
Mathematics / Complex Analysis
ISBN
3540663606
9783540663607
URL
http://books.google.com.hk/books?id=RHrdf06-vZ0C&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.