Lie Groups 2024 pdf epub mobi 电子书


Lie Groups

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发表于2024-12-26

Lie Groups 2024 pdf epub mobi 电子书

Lie Groups 2024 pdf epub mobi 电子书

Lie Groups 2024 pdf epub mobi 电子书



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出版者:Oxford University Press, USA
作者:Wulf Rossmann
出品人:
页数:280
译者:
出版时间:2006-08-24
价格:USD 80.00
装帧:Paperback
isbn号码:9780199202515
丛书系列:Oxford Graduate Texts in Mathematics

图书标签: 数学  Lie  Groups   


Lie Groups 2024 pdf epub mobi 电子书 图书描述

Lie Groups is intended as an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analysed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semisimple groups, such as Cartan subgroups, roots, weights, and reflections. The fundamental groups of the classical groups are worked out as an application of these methods. Manifolds are introduced when needed, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on integration on groups and homogeneous spaces. Representation theory starts from first principles, such as Schur's lemma and its consequences, and proceeds from there to the Peter-Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.

Lie Groups 2024 pdf epub mobi 电子书

Lie Groups 2024 pdf epub mobi 电子书
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立刻按 ctrl+D收藏本页
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