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The Geometry of Jordan and Lie Structures Book PDF 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.

Detail Book of The Geometry of Jordan and Lie Structures PDF

The Geometry of Jordan and Lie Structures
  • Author : Wolfgang Bertram
  • Release : 01 July 2003
  • Publisher : Springer
  • ISBN : 9783540444589
  • Genre : Mathematics
  • Total Page : 285 pages
  • Language : English
  • PDF File Size : 15,8 Mb

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