Elements of Mathematics pdf epub mobi txt 電子書 下載 2024


Elements of Mathematics

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Bourbaki, Nicolas
Pressley, A.N.
2008-12
446
786.00元
9783540688518

圖書標籤: Lie-Groups  Lie-Algebras  Bourbaki   


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发表于2024-11-11

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

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

Elements of Mathematics pdf epub mobi txt 電子書 下載 2024



圖書描述

This is the softcover reprint of the English translation of Bourbaki's text Groupes et Algebres 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 (978-3-540-69171-6) 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.

Elements of Mathematics 下載 mobi epub pdf txt 電子書

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