| 查看: 199 | 回复: 0 | ||
| 当前主题已经存档。 | ||
[资源]
Elements of Mathematics
|
||
|
Elements of Mathematics Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics) 3540434054, Pages: 434 This is the English translation of Bourbaki's text Groupes et Algèbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (3-540-42650-7) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras. Downloadlinks: http://rapidshare.com/files/1287 ... tics_3540434054.rar http://mihd.net/xba9gz |
回复此楼» 猜你喜欢
2026年申博-电池方向
已经有8人回复
-
导师各种操作恶心咋办
已经有8人回复
-
2026博士申请求助
已经有5人回复
-
研究生做的很差，你们会让毕业吗？
已经有11人回复
-
求碳排放博导；方向是LCA、生命周期可持续发展以及碳排放
已经有7人回复
-
2026博士或科研助理转27年博士
已经有7人回复
-
急招2026年9月份入学博士
已经有3人回复
-
国自科送审了吗
已经有11人回复
-
博士招生
已经有5人回复