The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics) par Wolfgang Bertram

December 13, 2019

The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics) par Wolfgang Bertram

Titre de livre: The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics)

Auteur: Wolfgang Bertram

ISBN: 3540414266

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Wolfgang Bertram avec The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics)

The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.