The Minnesota Notes on Jordan Algebras and Their Applications
Contributors: Aloys Krieg (Editor); Sebastian Walcher (Editor)
Edition: 1 edition
Publisher: Springer
Published: October 18, 1999
Language: eng
Format: Paperback
Number of pages: 175
ISBN-13: 9783540663607
Subjects: Algebraic topology; Fields & rings; Fourier analysis; Groups & group theory; Science/Mathematics; Theory Of Groups; Mathematics; Algebra - General; Group Theory; Mathematical Analysis; Mathematics / Group Theory; Mathematics-Algebra - General; Mathematics-Mathematical Analysis; Jordan algebras
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.
Notes: Lecture Notes in Mathematics