The Minnesota notes on Jordan algebras and their applications / Max Koecher ; edited and annotated by Aloys Krieg and Sebastian Walcher
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1710Langue : anglais.Éditeur : Berlin : Springer, 1999ISBN: 9783540663607.ISSN: 1617-9692.Sujet MSC : 17C36, Nonassociative rings and algebras - Jordan algebras, Associated manifolds32M15, Complex spaces with a group of automorphisms, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
17C55, Nonassociative rings and algebras - Jordan algebras, Finite-dimensional structures
17-02, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebrasEn-ligne : Springerlink | Zentralblatt | MathSciNet
This volume contains a re-edition of Max Koecher 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. (Zentralblatt)
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