The geometry of Jordan and Lie structures /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2000]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1754. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvi, 265 pages) |
| Bibliography: | Includes bibliographical references (pages [256]-262) and indexes. |
| ISBN: | 9783540444589 (electronic bk.) 3540444580 (electronic bk.) |
| ISSN: | 0075-8434 ; |