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[Lecture Notes in Mathematics] The Geometry of Jordan and Lie Structures Volume 1754 || Chapter VII: The conformal Lie algebra

โœ Scribed by Bertram, Wolfgang

Book ID
120394404
Publisher
Springer Berlin Heidelberg
Year
2000
Tongue
German
Weight
1004 KB
Edition
2000
Category
Article
ISBN
3540414266

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โœฆ Synopsis

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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