Symmetries, Lie Algebras and Representations pdf epub mobi txt 电子书 下载 2025
- 李代数
- 数学
- Cambridge
- 没头脑也很高兴
- 其余代数7
- Representation
- QuantumFieldTheory
- Math
This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers.
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李代数仿射李代数的入门教材，可以参考着看。
评分李代数仿射李代数的入门教材，可以参考着看。
评分李代数仿射李代数的入门教材，可以参考着看。
评分这本书排版那叫一个差啊，内容还行，但是毕竟是做cft的人写的，仅仅讲了affine type，hyperbolic跟lorentzian type的没有涉猎，这是这本书的遗憾。
评分李代数仿射李代数的入门教材，可以参考着看。
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