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I am about to finish reading Hall's Lie Groups, Lie Algebras, and Representations, and searching for the next book.

I am poor at differential geometry but good at algebra, including Lie algebras. Indeed, I know much about representation theory of finite dimensional Lie algebras, and a little about that of infinite dimension.

What would be the best book for me of general theory of Lie group representations? Or should I learn more about geometry before reading further?

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I think that Anthony Knapp's Lie groups beyond an introduction is a good choice.

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  • $\begingroup$ Thank you for suggestion. I will go to the library and find it. $\endgroup$ – user7336686 Aug 1 '18 at 12:02

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