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I recommend this intro graduate text on Lie representation theory: https://link.springer.com/book/10.1007/978-1-4612-0979-9 https://link.springer.com/book/10.1

• coderatlarge 11mo ago
  for those who need an easier introduction to the subject (no general integration theory required, just finite sums) i can highly recommend https://link.springer.com/book/10.1007/978-1-4614-0776-8 https://link.springer.com/book/10.1007/978-1-4614-0776-8 it doesn’t say what a lie group is but it gets you down the road if understanding representations and what tou can do with them. dramatically easier than fulton and Harris for self-study.