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The Geometry of Jordan and Lie Structures
Wolfgang Bertram
出版Springer, 2003-07-01
主題Mathematics / Algebra / GeneralMathematics / Geometry / DifferentialMathematics / Group TheoryMathematics / Topology
ISBN35404445809783540444589
URLhttp://books.google.com.hk/books?id=U_lpCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.