Structure and Geometry of Lie Groups 2024 pdf epub mobi 电子书

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发表于2024-12-26

Structure and Geometry of Lie Groups 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Joachim Hilgert

出品人:

页数:754

译者:

出版时间:2011-11-5

价格:USD 129.00

装帧:Hardcover

isbn号码:9780387847931

丛书系列:

图书标签: 数学计算机科学 Springer Lie Groups Geometry 2011

Structure and Geometry of Lie Groups 2024 pdf epub mobi 电子书图书描述

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.

Structure and Geometry of Lie Groups 2024 pdf epub mobi 电子书

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