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Download The geometry of Jordan and Lie structures Online

The geometry of Jordan and Lie structures




E-Book Download :The geometry of Jordan and Lie structures (file Format : djvu , Language : English)



Author : Wolfgang Bertram
Date released/ Publisher :2001 / Springer
ISBN10 / ISBN13 : 3540414266/9783540414261
Pages : 245

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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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