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Nov 28, 2019 at 14:29 comment added Rafael Mrden I am linking this answer here because it was very helpful to me: mathoverflow.net/questions/299900/…
Sep 30, 2019 at 14:11 answer added jorge vargas timeline score: 1
Sep 20, 2019 at 6:58 vote accept Rafael Mrden
Sep 19, 2019 at 16:15 answer added Mark Wildon timeline score: 4
Sep 17, 2019 at 20:58 comment added Qiaochu Yuan You can replace $\mathfrak{g}$ with a compact Lie group and use the compact form of Molien's theorem: en.wikipedia.org/wiki/Molien_series
Sep 17, 2019 at 16:19 history edited Abdelmalek Abdesselam
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Sep 17, 2019 at 11:23 history edited Rafael Mrden CC BY-SA 4.0
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Sep 17, 2019 at 9:52 comment added spin Even for $\mathfrak{g} = \mathfrak{sl}_2(\mathbb{C})$ and $V$ irreducible, I think in general it is not obvious what is the dimension of $S^k(V)^\mathfrak{g}$, which equals the number of times the $1$-dimensional irreducible occurs as a composition factor. Of course in a given small-dimensional case you can compute the character and figure this out. See eg OEIS: here and sequences linked there. Also here
Sep 17, 2019 at 8:27 history asked Rafael Mrden CC BY-SA 4.0