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Structure and Geometry of Lie Groups

von Joachim Hilgert und Karl-Hermann Neeb
Softcover - 9781489990068
106,99 €
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Hardcover - 9780387847931
149,79 €

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Hardcover - 9780387847931
149,79 €

Beschreibung

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.

Details

Verlag Springer US
Ersterscheinung 25. Januar 2014
Maße 23.5 cm x 15.5 cm
Gewicht 1124 Gramm
Format Softcover
ISBN-13 9781489990068
Seiten 746

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