E-Book, Englisch, Band 1710, 184 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Koecher / Krieg / Walcher The Minnesota Notes on Jordan Algebras and Their Applications
Erscheinungsjahr 2006
ISBN: 978-3-540-48402-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1710, 184 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-48402-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Domains of Positivity.- Omega Domains.- Jordan Algebras.- Real and Complex Jordan Algebras.- Complex Jordan Algebras.- Jordan Algebras and Omega Domains.- Half-Spaces.- Appendix: The Bergman kernel function.
