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- catalog abstract "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.".
- catalog contributor b11998469.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "xvi, 269 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540414266 (alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1754.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1754".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 512/.24 21".
- catalog subject "Global differential geometry.".
- catalog subject "Jordan algebras.".
- catalog subject "Lie algebras.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1754 QA252.5".
- catalog subject "Topological Groups.".
- catalog title "The geometry of Jordan and lie structures / Wolfgang Bertram.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".