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AuthorKoecher, Max. author
TitleThe Minnesota Notes on Jordan Algebras and Their Applications [electronic resource] / by Max Koecher ; edited by Aloys Krieg, Sebastian Walcher
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1999
Connect tohttp://dx.doi.org/10.1007/BFb0096285
Descript XII, 184 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Nonassociative rings Rings (Algebra) Topological groups Lie groups Functions of complex variables Mathematics Topological Groups Lie Groups Several Complex Variables and Analytic Spaces Non-associative Rings and Algebras



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