Elements of Mathematics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Nicolas Bourbaki 作者

Springer

Pressley, A. N. 译者

2004-12-22 出版日期

434 页数

USD 129.00 价格

Hardcover

Elements of Mathematics 丛书系列

9783540434054 图书编码

Elements of Mathematics 在线电子书图书标签: 数学 Nicolas Bourbaki

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Elements of Mathematics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Elements of Mathematics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Elements of Mathematics 在线电子书图书描述

This is the English translation of Bourbaki's text <EM>Groupes et Algèbres de Lie</EM>, 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.</P>

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