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Sep 7, 2019 at 22:29 comment added Rafael Mrden @JimHumphreys: By the way, thank you for your book! It has been quite helpful. :)
Sep 7, 2019 at 22:25 comment added Rafael Mrden @JimHumphreys: I meant that $\Sigma$ consists of just one root, the one that corresponds to the simple reflection $s$. Equivalently, the stabilizer of $\mu$ in $W$ is $\{1,s\}$.
Sep 7, 2019 at 21:28 comment added Jim Humphreys @Rafael: What do you mean by "$s$ is singular" in your second sentence?
Sep 3, 2019 at 7:02 comment added James Cheung Thank you very much.
Sep 3, 2019 at 6:56 comment added Rafael Mrden More precisely, Proposition 1.3.1. in the paper I mentioned.
Sep 3, 2019 at 6:55 comment added Rafael Mrden You can read a bit in Humphreys Category O book, the last section. The canonical reference is Beilinson-Ginzburg-Soergel: Koszul Duality Patterns in Representation Theory, J. Amer. Math. Soc. 9 (1996), 473-527.
Sep 3, 2019 at 6:22 comment added James Cheung I want to know more about Koszul-dual and the fact that the dimensions of Ext-group correspond to the multiplicities of simples inside generalized Verma modules. Do you have a reference for that? Please help me.
Sep 2, 2019 at 12:53 history edited Rafael Mrden CC BY-SA 4.0
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Sep 2, 2019 at 12:27 vote accept James Cheung
Sep 2, 2019 at 10:52 history edited Rafael Mrden CC BY-SA 4.0
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Sep 2, 2019 at 10:37 history answered Rafael Mrden CC BY-SA 4.0