Demazure module: Difference between revisions

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Revision as of 13:00, 11 June 2020

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In mathematics, a '''Demazure module''', introduced by {{harvs|txt|authorlink=Michel Demazure|last=Demazure|year1=1974a|year2=1974b}}, is a [[submodule]] of a finite-dimensional representation generated by an extremal [[Weight (representation theory)|weight]] space under the action of a [[Borel subalgebra]]. The '''Demazure character formula''', introduced by {{harvs|txt|authorlink=Michel Demazure|last=Demazure|year=1974b|loc=theorem 2}}, gives the characters of Demazure modules, and is a generalization of the [[Weyl character formula]].

The dimension of a Demazure module is a polynomial in the highest weight, called a '''Demazure polynomial'''.