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 Apr 4 awarded Popular Question Jan 30 asked highest weight of adjoint represesentation Jan 5 comment Lie algebras over non-algebraically closed field @MarianoSuárez-Alvarez Very well then. I'll try and get used to Bourbaki this semester. But I recently found Hilgert and Neeb's Structure and Geometry of Lie Groups and it's also what I'm looking for. Jan 5 asked Lie algebras over non-algebraically closed field Jan 1 accepted Hopf algebras and “unifying” representation theory Dec 14 accepted Vectors fixed under compact subgroup Nov 22 awarded Popular Question Nov 14 awarded Yearling Nov 9 awarded Nice Question Oct 31 asked Hopf algebras and “unifying” representation theory Oct 18 comment Haar measure on $\mathbb{C} \setminus 0$. @ThomasAndrews Don't you mean $S^1 \times \mathbb{R}^{+}$? That's what I had in my post. Unless your isomorphism is true as well and is more useful somehow. Oct 18 asked Haar measure on $\mathbb{C} \setminus 0$. Oct 17 accepted Peter-Weyl theorem versions Oct 15 accepted Weights of $\mathfrak{sl}_2(\mathbb{C})$ representation Oct 14 comment MATH PROBLEMS THIRD GRADE pauli.uni-muenster.de/~munsteg/arnold.html "To the question "what is 2 + 3" a French primary school pupil replied: "3 + 2, since addition is commutative". He did not know what the sum was equal to and could not even understand what he was asked about!" Oct 14 comment Peter-Weyl theorem versions I greatly appreciate that you typed this out for me. However, I was thinking there would be a shorter argument, and one which had a more analytic than Lie-Theoretic feel. Oct 14 comment Peter-Weyl theorem versions @JohnMa I just want the group to satisfy whatever conditions the Peter-Weyl theorems require. Oct 14 comment Peter-Weyl theorem versions Sure. I don't think it matters to much at the end of the day. Oct 14 asked Peter-Weyl theorem versions Oct 13 comment Vectors fixed under compact subgroup