Lie Groups and Algebraic Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Arkadij L. Onishchik 作者

Springer

Dimitry A. Leites 译者

2012-7-31 出版日期

356 页数

GBP 72.00 价格

Paperback

丛书系列

9783642743368 图书编码

Lie Groups and Algebraic Groups 在线电子书图书标签: 数学 Lie Groups 表示论代数 and Springer Mathematics

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Lie Groups and Algebraic Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This is a quite extraordinary book on Lie groups and algebraic groups. Created from hectographed notes in Russian from Moscow University, which for many Soviet mathematicians have been something akin to a "bible", the book has been substantially extended and organized to develop the material through the posing of problems and to illustrate it through a wealth of examples. Several tables have never before been published, such as decomposition of representations into irreducible components. This will be especially helpful for physicists. The authors have managed to present some vast topics: the correspondence between Lie groups and Lie algebras, elements of algebraic geometry and of algebraic group theory over fields of real and complex numbers, the main facts of the theory of semisimple Lie groups (real and complex, their local and global classification included) and their representations. The literature on Lie group theory has no competitors to this book in broadness of scope. The book is self-contained indeed: only the very basics of algebra, calculus and smooth manifold theory are really needed. This distinguishes it favorably from other books in the area. It is thus not only an indispensable reference work for researchers but also a good introduction for students.

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