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Jan 23, 2015 at 13:56 comment added Jim Humphreys @Allen: There are several fine points to add if you want a real algorithm, but my edited answer is already getting too long.
Jan 22, 2015 at 21:03 history edited Jim Humphreys CC BY-SA 3.0
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Jan 21, 2015 at 22:43 comment added Jim Humphreys @Allen: Yes, the lower rank type A examples are often misleadingly well-behaved. Best to be skeptical.
Jan 21, 2015 at 21:45 comment added Allen Knutson Stroppel's 2003 paper "Category $\mathcal O$: quivers and endomorphism rings of projectives" math.uni-bonn.de/ag/stroppel/Quivers.pdf has the structure of regular $\mathfrak{sl}_4$ Vermas in the Appendix. She informs me that one can use it to verify that the intersections are indeed the sums, but like everyone else I've asked, is unwilling to believe that this will persist past type $A_9$ or so.
Dec 19, 2014 at 23:20 history edited Jim Humphreys CC BY-SA 3.0
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Nov 15, 2014 at 14:56 history answered Jim Humphreys CC BY-SA 3.0