《Enumerative Combinatorics, Volume 2》《Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics)》《Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence》《An Introduction to the Theory of Reproducing Kernel Hilbert ...
Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. Th...
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An introduction to Lie groups and algebras for physicists . It is specifically aimed at students who are about to begin a course or self study.
Chapter 1. Basic results on Lie groups 5 1.1. Smooth manifolds, Lie groups and Lie algebras 5 1.2. Vector fields 10 1.3. Frobenius' Theorem 14 1.4. Lie subgroups and Lie homomorphisms 16 1.5. Exponential map and adjoint representation 21 1.6. Closed subgroups 26 1.7. Exercises 30 Chapter ...
I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the...
> 华研外语 > An Introduction to Lie Groups and Lie Algebras 英文原版 李群和李代数导论 剑桥高等数学研究系列 英文版 进口英语原版书籍 华研外语官方旗舰店 关注店铺 评分详细 商品评价: 4.5 中 物流履约: 4.6 中 售后服务: 4.8 高 手机下单 进店逛逛|关注店铺 ...
【3】、Linear Representations of Finite Groups, J-P. Serre 建议第一遍读群表示论拿它第一部分找找感觉算些例子。 【4】、Introduction to Lie Algebras and Representation Theory, James E. Humphreys 第三章提到了群可解幂零与李代数的联系,可以拿这本看看概念。
An Introduction to Lie Groups and Lie Algebras || Representations of semisimple Lie algebras Hall, B. C., `Lie Groups, Lie Algebras, and Representations: An Elementary Introduction'. Springer-Verlag, New York, 2003.B. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introducti...