The Minnesota Notes on Jordan Algebras and Their Applications
Koecher, Max.
The Minnesota Notes on Jordan Algebras and Their Applications [electronic resource] / by Max Koecher ; edited by Aloys Krieg, Sebastian Walcher. - XII, 184 p. online resource. - Lecture Notes in Mathematics, 1710 0075-8434 ; . - Lecture Notes in Mathematics, 1710 .
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.
9783540484028
10.1007/BFb0096285 doi
Topological Groups.
Differential equations, partial.
Algebra.
Topological Groups, Lie Groups.
Several Complex Variables and Analytic Spaces.
Non-associative Rings and Algebras.
QA252.3 QA387
512.55 512.482
The Minnesota Notes on Jordan Algebras and Their Applications [electronic resource] / by Max Koecher ; edited by Aloys Krieg, Sebastian Walcher. - XII, 184 p. online resource. - Lecture Notes in Mathematics, 1710 0075-8434 ; . - Lecture Notes in Mathematics, 1710 .
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.
9783540484028
10.1007/BFb0096285 doi
Topological Groups.
Differential equations, partial.
Algebra.
Topological Groups, Lie Groups.
Several Complex Variables and Analytic Spaces.
Non-associative Rings and Algebras.
QA252.3 QA387
512.55 512.482