The Geometry of Jordan and Lie Structures

Released on by Wolfgang Bertram
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  • The Geometry of Jordan and Lie Structures Book Detail

  • Author : Wolfgang Bertram
  • Release Date : 2003-07-01
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 285
  • ISBN 13 : 3540444580
  • File Size : 37,37 MB
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The Geometry of Jordan and Lie Structures by Wolfgang Bertram PDF Summary

Book Description: 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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