High Energy What mathematics books need to read ?

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To effectively understand Quantum Field Theory as presented in Weinberg's volumes, a solid foundation in mathematics is essential. Key areas of focus include group theory, particularly representation theory, which is crucial for grasping the symmetries in QFT. Hall's book on representation theory is highly recommended for its clarity and relevance. It's advised to avoid abstract algebra texts that concentrate on finite groups, as they are less applicable to the needs of QFT. Emphasizing the right mathematical background will enhance comprehension of the complex concepts in quantum field theory.
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What is mathematics books need to read to well understand Quantum Field Theory of Weinberg Vol 1,2,3?Please hint me some group theory books?I know not much in representation of group.
 
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If you're interested in representation theory, then you can't really do better than Hall: https://www.amazon.com/dp/0387401229/?tag=pfamazon01-20
Do not get an abstract algebra book. Those books focus a lot on finite groups, which are things which you won't need for QFT.
 
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