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.
發表於2024-06-16
Structure and Geometry of Lie Groups 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 計算機科學 Springer Lie Groups Geometry 2011
不錯的入門書
評分不錯的入門書
評分不錯的入門書
評分不錯的入門書
評分不錯的入門書
Structure and Geometry of Lie Groups 2024 pdf epub mobi 電子書 下載