- #1

Scrumhalf

Gold Member

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## Main Question or Discussion Point

Posting for my son (who does not have an account here):

He's a sophomore math major in college and is looking for a good book on Lie algebra and Lie Groups that he can study over the summer. He wants mathematical rigor, but he is thinking of grad school in theoretical physics, so he also wants the connection to physics.

He has an excellent math foundation: 1 full-year sequence on abstract algebra - groups, rings and fields (Dummit & Foote) and 1 full year sequence on real and complex analysis (baby Rudin, Wheeden and Zygmund, Ahlfors, Marshall). He will take a geometry/topology sequence next year, so he does not have formal training in that area yet, so the book cannot be topology-heavy.

He wants something that can build on his group theory and analysis knowledge and not spend too much time repeating stuff he already knows. Would Stillwell be the right level? Or Hall? Or would it be something that approaches the subject at a more advanced level?

Thanks!

He's a sophomore math major in college and is looking for a good book on Lie algebra and Lie Groups that he can study over the summer. He wants mathematical rigor, but he is thinking of grad school in theoretical physics, so he also wants the connection to physics.

He has an excellent math foundation: 1 full-year sequence on abstract algebra - groups, rings and fields (Dummit & Foote) and 1 full year sequence on real and complex analysis (baby Rudin, Wheeden and Zygmund, Ahlfors, Marshall). He will take a geometry/topology sequence next year, so he does not have formal training in that area yet, so the book cannot be topology-heavy.

He wants something that can build on his group theory and analysis knowledge and not spend too much time repeating stuff he already knows. Would Stillwell be the right level? Or Hall? Or would it be something that approaches the subject at a more advanced level?

Thanks!