Structure And Geometry Of Lie Groups (Springer Monographs In Mathematics) Joachim Hilgert

ISBN: 9780387847931

Published: November 5th 2011

Hardcover

744 pages


Description

Structure And Geometry Of Lie Groups (Springer Monographs In Mathematics)  by  Joachim Hilgert

Structure And Geometry Of Lie Groups (Springer Monographs In Mathematics) by Joachim Hilgert
November 5th 2011 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 744 pages | ISBN: 9780387847931 | 6.69 Mb

This self-containedtext is an excellent introductionto Lie groups and their actions on manifolds. Theauthors start withan elementarydiscussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finiteMoreThis self-containedtext is an excellent introductionto Lie groups and their actions on manifolds.

Theauthors start withan elementarydiscussion 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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