学习黎曼流形的好教材，John M. Lee写的，讲的非常细致，特别适合自学。

本书的内容有微分流形、拓扑群、李群、半单纯李代数的结构以及李代数和李群表示论初步

学习SLAM-为啥需要李群与李代数，李群李代数讲解，内含自动驾驶完整学习资料

用矩阵的角度介绍了李群李代数的知识，通俗易懂，并且讨论了几个常见的矩阵子群作为李群的结构。对了解在黎曼流形上的机器学习有一些帮助。

李群的一本书，是扫描版，书的质量不错。 This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups （which is the basis of many texts）and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori （two proofs）, Weyl character formula and more are covered. The book continues with the study of complex analytic groups, then general noncompact Lie groups, including the Coxeter presentation of the Weyl group, the Iwasawa and Bruhat decompositions, Cartan decomposition, symmetric spaces, Cayley transforms, relative root systems, Satake diagrams, extended Dynkin diagrams and a survey of the ways Lie groups may be embedded in one another. The book culminates in a "topics" section giving depth to the student's understanding of representation theory, taking the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as a unifying theme, with many applications in diverse areas such as random matrix theory, minors of Toeplitz matrices, symmetric algebra decompositions, Gelfand pairs, Hecke algebras, representations of finite general linear groups and the cohomology of Grassmannians and flag varieties. 　　Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations （Cambridge University Press 1997）and Algebraic Geometry （World Scientific 1998）.

作者: 黄宣国 出版社: 复旦大学出版社 出版年: 2007-5 页数: 248 定价: 26.00元 丛书: 复旦大学数学研究生教学用书 ISBN: 9787309054651 内容简介 · · · · · · 《李群基础》是作者在多年来讲授“李群与李代数”课程讲义的基础上逐步修改而成的，是一本李群与李代数的入门教材，全书包括：微分流形的简单叙述、拓扑群的扼要理论、李群和李代数的基础知识、半单纯李代数的基本内容、李群和李代数表示理论介绍等，为适合读者阅读，《李群基础》在第一版基础上进行了修改、补充，并在第三、第四、第五章增补了适量的习题。 《李群基础》可供从事数学研究的大学教师和研究生阅读，可作为硕士研究生的教材，也可供从事理论物理研究的专业人员参考。 丛书信息 　　复旦大学数学研究生教学用书 (共5册), 这套丛书还有 《现代概率论基础》,《泛函分析教程》,《代数曲线》,《算子理论基础》,

机器人状态估计理论经典

State Estimation for Robotics A Matrix Lie Group Approach

State Estimation for Robotics A Matrix Lie Group Approach

用李群李代数的知识解释计算机视觉中的问题。。。。。