The geometry of Jordan and Lie structures / Wolfgang Bertram.
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 |
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Berlin ; New York :
Springer,
©2000.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1754. |
| Subjects: |
MARC
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| 100 | 1 | |a Bertram, Wolfgang, |d 1965- | |
| 245 | 1 | 4 | |a The geometry of Jordan and Lie structures / |c Wolfgang Bertram. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2000. | ||
| 300 | |a 1 online resource (xvi, 265 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1754. | |
| 504 | |a Includes bibliographical references (pages 256-262) and indexes. | ||
| 505 | 0 | 0 | |g Jordan-lie functor -- |t Symmetric spaces and the lie-functor -- |t Prehomogeneous symmetric spaces and jordan algebras -- |t Jordan-lie functor -- |t Classical spaces -- |t Non-degenerate spaces -- |t Conformal group and global theory -- |t Integration of Jordan structures -- |t Conformal lie algebra -- |t Conformal group and conformal completion -- |t Liouville theorem and fundamental theorem -- |t Algebraic structures of symmetric spaces with twist -- |t Spaces of the first and of the second kind. |
| 520 | |a 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. | ||
| 650 | 0 | |a Jordan algebras. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 7 | |a Jordan algebras. |2 fast |0 (OCoLC)fst00983985. | |
| 650 | 7 | |a Lie algebras. |2 fast |0 (OCoLC)fst00998125. | |
| 776 | 0 | 8 | |i Print version: |a Bertram, Wolfgang, 1965- |t Geometry of Jordan and Lie structures. |d Berlin ; New York : Springer, ©2000 |z 3540414266 |w (DLC) 00066150 |w (OCoLC)45392825. |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1754. | |
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