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Nov 30, 2017 at 17:24 comment added Jim Humphreys Another useful link: mathscinet.ams.org/mathscinet-getitem?mr=3453057 (which is probably the same as the arXiv second version front.math.ucdavis.edu/1503.06762); but note in Problem 10(a) that they don't really mean "lower bound".
Nov 30, 2017 at 15:31 history edited Roman
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Nov 30, 2017 at 1:27 comment added Jim Humphreys P.S. Here is a link to the online version of the Feldvoss-Nakano paper I mentioned: sciencedirect.com/science/article/pii/S0021869397973439
Nov 30, 2017 at 1:20 comment added Jim Humphreys Simple Lie algebras of Cartan type in prime characteristic are quite hard to study in a uniform way, unlike the Lie algebras of simple algebraic groups (even when these Lie algebras aren't quite simple). As far as I know, the representations have been studied only in some very special cases, for example by Feldvoss and Nakano. But some of the same questions do arise, even without the groups in the background. Sasha Premet should comment further on this, but meanwhile you might consider adding some tags such as 'lie-algebras'.
Nov 29, 2017 at 16:58 history asked Roman CC BY-SA 3.0