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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 · I want to fill this hole and I was wondering which (graduate) book will be best suited for this, some research led me to this list, although I am open for any suggestion:-Brian C. Hall, Lie groups, Lie algebras and representations. Currently my least favorite option, mainly because of the answer given here. I do know differential geometry and I ...

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

   math.stackexchange.com › questions › 194419

   There is a modern book on Lie groups, namely "Structure and Geometry of Lie Groups" by Hilgert and Neeb. It is a lovely book. It starts with matrix groups, develops them in great details, then goes on to do Lie algebras and then delves into abstract Lie Theory.

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

   math.stackexchange.com › questions › 474609

   Aug 23, 2013 · This is very hands down, they assume right away that you are working over the complex numbers. You won't get quite far with this book (it covers the main definitions and gives the structure theorem for semisimple Lie algebras), but if you do the exercises, you will have a good foundation.

4. physics.stackexchange.com › questions › 6108Comprehensive book on group theory for physicists?

   physics.stackexchange.com › questions › 6108

   I recommend as a first reading Lie Groups, Lie Algebras, and Representations. The book deals with representation theory of Lie groups of matrices. After reading this I also recommend the Sternberg's book for physical applications and the topological point of view of group theory.

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

   link.springer.com › book › 10

   • Cached

   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 classic texts on ...

   • Author: Brian C. Hall

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

   matheducators.stackexchange.com › questions › 6075

   Dec 23, 2014 · I have been strongly recommended to read the book Naive Lie Theory. 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.

7. People also ask

   Which Lie algebra book should I read first?

   • I recommend as a first reading Lie Groups, Lie Algebras, and Representations. The book deals with representation theory of Lie groups of matrices. After reading this I also recommend the Sternberg's book for physical applications and the topological point of view of group theory. I like Hall's book quite a lot. I'm confused.

   Comprehensive book on group theory for physicists?

   physics.stackexchange.com/questions/6108/comprehensive-book-on-group-theory-for-physicists

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   Is Lie theory a good book?

   • It perfectly suits as a text book to learn Lie theory, including Lie groups, representation theory, and structure theory of Lie algebras. The absense of misprints and errors as well as the long collection of problems including hints at the back of the book make it suitable for self-study. . .

   Lie Groups Beyond an Introduction | SpringerLink

   link.springer.com/book/10.1007/978-1-4757-2453-0

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   Should a physicist read Lie algebras & Lie groups?

   • It is about Lie algebras and Lie groups, and you are asking for general group theory, but this book, in my opinion, would be useful to a physicists. The applications are to physics, mainly quantum theory. Edit: Forgot to comment on the last part of the questions.

   Comprehensive book on group theory for physicists?

   physics.stackexchange.com/questions/6108/comprehensive-book-on-group-theory-for-physicists

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   What are some good books on Lie groups?

   • There is a modern book on Lie groups, namely "Structure and Geometry of Lie Groups" by Hilgert and Neeb. It is a lovely book. It starts with matrix groups, develops them in great details, then goes on to do Lie algebras and then delves into abstract Lie Theory.

   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 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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   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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8. link.springer.com › book › 10Lie Groups Beyond an Introduction | SpringerLink

   link.springer.com › book › 10

   • Cached

   It perfectly suits as a text book to learn Lie theory, including Lie groups, representation theory, and structure theory of Lie algebras. The absense of misprints and errors as well as the long collection of problems including hints at the back of the book make it suitable for self-study. . .