• Title of article

    On Demazure polynomials

  • Author/Authors

    Séverine Verneyre-Petitgirard، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    24
  • From page
    306
  • To page
    329
  • Abstract
    The dimension of the Demazure module, Ew(λ), for an affine Kac–Moody algebra, is a polynomial in λ, called a Demazure polynomial. In this article, we prove that it is harmonic. For the algebra , we define a subset of W, of non-null density. We calculate explicitly all the Demazure polynomials for this subset.
  • Keywords
    Real character , Lie algebra , Kac–Moody algebra , Demazure operator , Character formula , Demazure module , Harmonic polynomial , Demazure polynomial
  • Journal title
    Journal of Algebra
  • Serial Year
    2007
  • Journal title
    Journal of Algebra
  • Record number

    697858