Elements of Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Nicolas Bourbaki 作者

Springer

Pressley, A. N. 譯者

2004-12-22 出版日期

434 頁數

USD 129.00 價格

Hardcover

Elements of Mathematics 叢書系列

9783540434054 圖書編碼

Elements of Mathematics 在線電子書圖書標籤: 數學 Nicolas Bourbaki

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Elements of Mathematics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Elements of Mathematics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Elements of Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Elements of Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Elements of Mathematics 在線電子書圖書描述

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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