What Are the Best Self-Study Books on Lie Algebras and Dynkin Diagrams?

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Discussion Overview

The discussion focuses on recommendations for self-study books on Lie Algebras, particularly emphasizing the understanding of Dynkin diagrams and the classification of algebras. Participants also inquire about resources related to problems in Lie Groups or Lie Algebras.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant requests recommendations for self-study books on Lie Algebras and Dynkin diagrams.
  • Another participant suggests a paper on E6 and its subgroups, noting it provides a summary of Lie groups and algebras.
  • A different participant mentions the book "Semi-Simple Lie Algebras and their Representations" as freely available and suggests it for self-study.
  • Another book, "Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists," is also recommended, with a link provided.
  • One participant acknowledges the recommendations and expresses intent to purchase or download the suggested books.
  • A final suggestion is made for an online resource by Shlomo Sternberg.

Areas of Agreement / Disagreement

Participants share various recommendations without a consensus on a single best resource, indicating multiple competing views on suitable books for self-study.

Contextual Notes

Some recommendations depend on the availability of resources, and participants may have different preferences based on their specific needs for understanding Lie Algebras and Dynkin diagrams.

Who May Find This Useful

Readers interested in self-study resources for Lie Algebras, Dynkin diagrams, and related mathematical concepts may find this discussion beneficial.

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Could anyone recommend a good book on Lie Algebras for self-study? I need to deeply understand Dynkin diagrams and classification of algebras.

Other question: does anybody know a book on problems of Lie Groups or Lie Algebras?

Thank you.
 
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Check this out http://arxiv.org/abs/0711.3447

Though, it's a paper on E6 and its subgroups, it also gives a very nice summary/ introduction on Lie groups and algebras and their classification.
 
Last edited by a moderator:
Thank you very much George and Kexue. I will buy / download recommended books and put myself onto Lie Algebras.
 

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