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The Minnesota Notes on Jordan Algebras and Their Applications / by Max Koecher ; edited by Aloys Krieg, Sebastian Walcher
(Lecture Notes in Mathematics. ISSN:16179692 ; 1710)

1st ed. 1999.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1999
本文言語 英語
大きさ XII, 184 p : online resource
冊子体 The Minnesota notes on Jordan algebras and their applications / Max Koecher ; edited and annotated by Aloys Krieg and Sebastian Walcher
著者標目 *Koecher, Max author
Krieg, Aloys editor
Walcher, Sebastian editor
SpringerLink (Online service)
件 名 LCSH:Topological groups
LCSH:Lie groups
LCSH:Functions of complex variables
LCSH:Nonassociative rings
FREE:Topological Groups and Lie Groups
FREE:Several Complex Variables and Analytic Spaces
FREE:Non-associative Rings and Algebras
一般注記 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
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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書誌ID 4000109532
ISBN 9783540484028

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