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1. math.stackexchange.com › questions › 2603421reference request - Best book to study Lie group theory ...

   math.stackexchange.com › questions › 2603421

   Jan 13, 2018 · 1. Hall's book is excellent. You can't go wrong there. I would also suggest supplementing with Chapter 4 of Tu's book for more of a complete connection with the geometry (Hall's book largely focuses on the representation theory of Lie Groups and Lie Algebras, although there is geometry in that too in later chapters). Share.

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3. math.stackexchange.com › questions › 194419reference request - What's a good place to learn Lie groups ...

   math.stackexchange.com › questions › 194419

   47. I think a good place to start with Lie groups (if you don't know Differential Geometry like me) is Brian Hall's Book Lie Groups, Lie algebras and Representations. The strength of such a book for me would be that it talks about matrix Lie groups, e.g. SO(n), U(n), GLn, Spn, SLn S O (n), U (n), G L n, S p n, S L n and not general Lie groups ...

4. math.stackexchange.com › questions › 474609reference request - Could you recommend some books on Lie ...

   math.stackexchange.com › questions › 474609

   Aug 23, 2013 · It is more terse than Erdmann and Wildon, and the exercises are more difficult, but it covers more. Then, you might want more heavy-duty stuff. That's when I went to Lie Groups Beyond an Introduction by Anthony Knapp. For this, you need some knowledge of topology and differential geometry, i.e. knowledge of smooth manifolds.

5. physics.stackexchange.com › questions › 628580Good alternatives to Georgi's Lie Algebras in Particle Physics?

   physics.stackexchange.com › questions › 628580

   Apr 11, 2021 · Ramond, Group Theory. A short, clean book which also briefly covers topics of mathematical interest, such as Kac-Moody algebras. Not a good first introduction; better for a fun second look. Beware: the reference tables in the appendix contain a number of mistakes. Kirillov, An Introduction to Lie Groups and Lie Algebras. A standard introductory ...

6. www.reddit.com › r › mathTextbook recommendations for Lie algebras and Lie groups

   www.reddit.com › r › math

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   The only discernible difference is using a more differential geometry language for talking about various Lie concepts than linear algebraic. Seeing how you mentioned that you found Humphrey's book difficult, I do suggest sitting and giving Hall's book a reading. Like I said, you aren't wasting time. You're learning concepts.

7. matheducators.stackexchange.com › questions › 6075textbooks - Lie Theory: significance and relevance to ...

   matheducators.stackexchange.com › questions › 6075

   Dec 23, 2014 · In the introduction one can read: "This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its ...

8. People also ask

   What is a good book to learn Lie algebra & representation theory?

   • That's when I went to Lie Groups Beyond an Introduction by Anthony Knapp. For this, you need some knowledge of topology and differential geometry, i.e. knowledge of smooth manifolds. But this is a very good book, and it covers a wide range of topics. James Humphreys - Introduction to Lie Algebras and Representation Theory ( link)

   Could you recommend some books on Lie algebra？

   math.stackexchange.com/questions/474609/could-you-recommend-some-books-on-lie-algebra

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   Which Lie theory book should I read?

   • Also, an absolutely must read, for when you start learning the more advanced (i.e. anything beyond Tapp's book) topics in Lie groups is the fantastic introductory article Very Basic Lie Theory by Howe. Tapp is a good alternative to Stillwell's book and about on the same level of difficulty. However Tapp's book is slower-paced.

   What's a good place to learn Lie groups? - Mathematics

   math.stackexchange.com/questions/194419/whats-a-good-place-to-learn-lie-groups

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   What makes Lie groups a good book?

   • In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:

   Lie Groups, Lie Algebras, and Representations: An Elementary

   link.springer.com/book/10.1007/978-3-319-13467-3

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   Is Lie group theory a good book?

   • “The first edition of this book was very good; the second is even better, and more versatile. This text remains one of the most attractive sources available from which to learn elementary Lie group theory, and is highly recommended.” (Mark Hunacek, The Mathematical Gazette, Vol. 101 (551), July, 2017)

   Lie Groups, Lie Algebras, and Representations: An Elementary

   link.springer.com/book/10.1007/978-3-319-13467-3

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   Is Lie algebra a good book?

   • Furthermore, the Lie algebra is introduced not as an abstract linear space with a bracket but as the set of all matrices X such that etX lands in the matrix Lie group for all t. I am using this book now for a course and I find it extremely readable. For one, proofs are presented in almost complete detail and it is easy to follow.

   What's a good place to learn Lie groups? - Mathematics

   math.stackexchange.com/questions/194419/whats-a-good-place-to-learn-lie-groups

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   Is Chevalley's theory of Lie groups a good reference?

   • I'd say Chevalley's book "Theory of Lie Groups I" is a good reference. I'm currently using him (yes, I'm studying Lie Groups too!). Take a look at it and see if it is what you need. This is a very good book, however readers should be warned that the book uses some terminology that isn't used anymore nowadays.

   What's a good place to learn Lie groups? - Mathematics

   math.stackexchange.com/questions/194419/whats-a-good-place-to-learn-lie-groups

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9. link.springer.com › book › 10Lie Groups, Lie Algebras, and Representations - Springer

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   About this book. This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most ...