Timeline for How to compute irreducible representation of Lie algebra in the framework of BBD
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| Apr 9, 2011 at 5:48 | comment | added | S Kitchen | Thanks for the link -- I was unsure of where to find the paper online. And of course you are right that I haven't constructed irreducible representations so much as identified their D-module counterpart under localization, but based on the OP's comments about perverse sheaves and Riemann-Hilbert, this seemed to me to be what he was actually asking for. Apologies all around if that is not the case! | |
| Apr 1, 2011 at 19:19 | comment | added | Jim Humphreys | To make your reference explicit, the paper is by Hecht, Milicic, Schmid, Wolf (Invent. Math. 90, 1987), online at gdz.sub.uni-goettingen.de But I still don't understand in what sense any of this machinery "constructs" irreducible representations of the Lie algebra explicitly as Shizhuo asks. The original questions for Lie algebras (or Lie groups) focus on computation of suitable "characters", for which the geometric categories mainly provide the combinatorial setting needed to carry out indirect recursions. | |
| Mar 31, 2011 at 19:46 | history | answered | S Kitchen | CC BY-SA 2.5 |