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

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

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

1. Mathematics
2. Nonassociative rings
3. Rings (Algebra)
4. Topological groups
5. Lie groups
6. Functions of complex variables
7. Mathematics
8. Topological Groups
9. Lie Groups
10. Several Complex Variables and Analytic Spaces
11. Non-associative Rings and Algebras