Symmetries, Lie Algebras and Representations pdf epub mobi txt 電子書 下載2025
- 李代數
- 數學
- Cambridge
- 沒頭腦也很高興
- 其餘代數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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李代數仿射李代數的入門教材，可以參考著看。
评分這本書排版那叫一個差啊，內容還行，但是畢竟是做cft的人寫的，僅僅講瞭affine type，hyperbolic跟lorentzian type的沒有涉獵，這是這本書的遺憾。
评分這本書排版那叫一個差啊，內容還行，但是畢竟是做cft的人寫的，僅僅講瞭affine type，hyperbolic跟lorentzian type的沒有涉獵，這是這本書的遺憾。
评分這本書排版那叫一個差啊，內容還行，但是畢竟是做cft的人寫的，僅僅講瞭affine type，hyperbolic跟lorentzian type的沒有涉獵，這是這本書的遺憾。
评分李代數仿射李代數的入門教材，可以參考著看。
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