Structure and Geometry of Lie Groups

Structure and Geometry of Lie Groups

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Cod produs/ISBN: 9780387847931

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Editura: Springer

Limba: Engleza

Nr. pagini: 756

Coperta: Hardback

Dimensiuni: 15.6 x 4 x 23.4 cm

An aparitie: 2012

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.


Springer
An aparitie 2012
Autor Joachim Hilgert, Karl-Hermann Neeb
Dimensiuni 15.6 x 4 x 23.4 cm
Editura Springer
Format Hardback
ISBN 9780387847931
Limba Engleza
Nr pag 756

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