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Aug 14, 2013 at 17:41 comment added denomme It seems I need to have read the paper a bit closer. The injectivity of those maps is actually shown in an earlier part of Joseph's paper, in lemma 2.8. Along with proposition 2.13 he actually has proven the character formula for finite dimensional $\mathfrak{g}$-modules, just not all Demazure modules. See for instance see theorem 2.21 in the same paper, where the formula is proved for all Demazure submodules of $E(\lambda)$, but only for sufficiently large $\lambda$. Sorry for the uninformed question :-/
Aug 13, 2013 at 21:50 answer added Jim Humphreys timeline score: 1
Aug 13, 2013 at 19:57 review First posts
Aug 13, 2013 at 20:01
Aug 13, 2013 at 19:47 history edited denomme CC BY-SA 3.0
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Aug 13, 2013 at 19:40 history asked denomme CC BY-SA 3.0