The Geometry of Jordan and Lie Structures
| Author | : Wolfgang Bertram |
| Publisher | : Springer |
| Total Pages | : 285 |
| Release | : 2003-07-01 |
| ISBN-10 | : 9783540444589 |
| ISBN-13 | : 3540444580 |
| Rating | : 4/5 (580 Downloads) |
Download or read book The Geometry of Jordan and Lie Structures written by Wolfgang Bertram and published by Springer. This book was released on 2003-07-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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