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May 24, 2012 at 16:33 comment added Eric O. Korman Sorry my question was worded kind of vaguely. Instead of saying "I know it's isomorphic to..." I really should have said "I want to see if its isomorphic to...then what would $\mathfrak g$ have to be". I have just edited it.
May 24, 2012 at 15:43 comment added Qiaochu Yuan Perhaps the question can be rephrased as follows: suppose $\hat{\mathfrak{g}_1} \cong \hat{\mathfrak{g}_2}$ as abstract Lie algebras. Is it true that $\mathfrak{g}_1 \cong \mathfrak{g}_2$?
May 24, 2012 at 15:34 history answered Jim Humphreys CC BY-SA 3.0