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These notes are the outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994 In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini course on them at the beginning Since my students did not have the necessary background on manifolds I faced a dilemma: either use manifold techniques that my students were not familiar with or else spend much of the course teaching those techniques instead of teaching Lie theory To resolve this dilemma I chose to write my own notes using the notion of a matrix Lie group A matrix Lie group is simply a closed subgroup of GL n;C Although these are often called simply “matrix groups ” my terminology emphasizes that every matrix group is a Lie group ">These notes are the outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994 In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini course on them at the beginning [更多]
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Lie Groups, Lie Algebras, and Representations

Lie Groups, Lie Algebras, and Representations基础理论介绍

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Lie Groups, Lie Algebras, and Representations: An Elementary Introduction

此书从开始即从矩阵切入,从代数而非几何角度引入矩阵李群的概念。并通过定义运算的方式建立exponential mapping,并就此引入李代数。这种方式比起传统的通过“左不变向量场(Left-invariant vector field)“的方式定义李代数更容易为人所接受,也更容易揭示李代数的意义。最后,也有专门的论述把这种新的定义方式和传统方式联系起来。

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Lie group Lie algebras and representations By Brian C.Hall.pdf

Lie group Lie algebras and representations an elementary introduction By Brian C.Hall.pdf. 此书从开始即从矩阵切入,从代数而非几何角度引入矩阵李群的概念。并通过定义运算的方式建立exponential mapping,并就此引入李代数。这种方式比起传统的通过“左不变向量场(Left-invariant vector field)“的方式定义李代数更容易为人所接受,也更容易揭示李代数的意义。最后,也有专门的论述把这种新的定义方式和传统方式联系起来。

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H.Georgi - Lie Algebras in Particle Physics-(1999)

Georgi: "I may be prejudiced, but I think that this material is wonderful fun to teach, and to learn."

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Lie Groups and Lie Algebras ADAM M. BINCER

一本介绍Lie Group的书,作者 ADAM M. BINCER

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Lie group Lie algebras and representations,Second Edition,2015

Brian 的 Lie Groups, Lie Algebras, and Representations: An Elementary Introduction。2015年新版。非扫描,纯电子文档,有详细目录。

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Gilmore - Lie Groups, Physics and Geometry

李群李代数入门讲义,经典教材,内容比较好懂,矩阵表达

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stochastic models information theory and lie groups

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series reflects the importance

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N.bourbaki Lie Algebras Chapters 7-9 2

布尔巴基Lie Algebras Chapters 7-9 2

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Matrix Group - An Introduction of Lie group theory

Matrix Group - An Introduction of Lie group theory

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Compact Lie Groups and Their Representations

Compact Lie Groups and Their Representations

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Foundations of Differentiable Manifolds and Lie Groups

科学出版社出了这本名著的中译本不久。 低起点,高观点,风格独特,简与详之处都可见作者的风格

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Stochastic Models, Information Theory, and Lie Groups Volume 2

机器人状态估计经典理论

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Lie Groups, An Approach through Invariants and Representations

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide

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Lie group Lie algebras and representations By Brian C.Hall

Lie.Groups .Lie.Algebras and Representations Brian.C..Hall.

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Introduction to Lie Algebras and Representation Theory

Introduction to Lie algebras and representation theory (Springer,Third printing, revised, 1980)(T)(186s) - James E. Humphreys.djvu

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Stochastic Models, Information Theory, and Lie Groups Volume 1

机器人状态估计理论经典

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紧致李群表示

098 - Representations of Compact Lie Groups - Broecker Dieck

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SUMS41 Introduction to Lie Algebras, Karin Erdmann, Mark J. Wildon (2006) .zip

SUMS41 Introduction to Lie Algebras, Karin Erdmann, Mark J. Wildon (2006) .zip

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Lie Groups for 2D and 3D Transformations

This document derives useful formulae for working with the Lie groups that represent transformations in 2D and 3D space. A Lie group is a topological group that is also a smooth manifold, with some other nice properties. Associated with every Lie group is a Lie algebra, which is a vector space discu

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lie groups or algebras

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