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Line 16: The Demazure character formula was introduced by {{harv\|Demazure\|1974b\|loc=theorem 2}}. [[Victor Kac]] pointed out that Demazure's proof has a serious gap, as it depends on {{harv\|Demazure\|1974a\|loc=Proposition 11, section 2}}, which is false; see {{harv\|Joseph\|1985\|loc=section 4}} for Kac's counterexample. {{harvtxt\|~~Anderson~~Andersen\|1985}} gave a proof of Demazure's character formula using the work on the geometry of [[Schubert varieties]] by {{harvtxt\|Ramanan\|Ramanathan\|1985}} and {{harvtxt\|Mehta\|Ramanathan\|1985}}. {{harvtxt\|Joseph\|1985}} gave a proof for sufficiently large dominant highest weight modules using Lie algebra techniques. {{harvtxt\|Kashiwara\|1993}} proved a refined version of the Demazure character formula that {{harvtxt\|Littelmann\|1995}} conjectured (and proved in many cases). ===Statement===

Demazure module: Difference between revisions