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Structure and Geometry of Lie Groups

Karl-Hermann Neeb

Editore:: Springer New York
Collana:: Springer Monographs In Mathematics
EAN:: 9781489990068
ISBN:: 1489990062
Pagine:: 756
Formato:: Paperback
Lingua:: Inglese

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Descrizione Structure and Geometry of Lie Groups

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.

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Structure and Geometry of Lie Groups

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1489990062

Descrizione Structure and Geometry of Lie Groups

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