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Record Nr. |
UNINA9910146310203321 |
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Autore |
Koecher Max |
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Titolo |
The Minnesota notes on Jordan algebras and their applications / / Max Koecher ; edited and annotated by Aloys Krieg and Sebastian Walcher |
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Pubbl/distr/stampa |
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Berlin : , : Springer, , [1999] |
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©1999 |
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ISBN |
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Edizione |
[1st ed. 1999.] |
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Descrizione fisica |
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1 online resource (XII, 184 p.) |
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Collana |
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Lecture notes in mathematics (Springer-Verlag) ; ; 1710 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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