• Title of article

    Ad-nilpotent ideals of a Borel subalgebra II

  • Author/Authors

    Paola Cellini ، نويسنده , , Luigi Orsina and Paolo Papi، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    10
  • From page
    112
  • To page
    121
  • Abstract
    We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra and the orbits of under the Weyl group ( being the coroot lattice and h the Coxeter number of ). From this result we deduce in a uniform way a counting formula for the ad-nilpotent ideals.
  • Keywords
    ad-nilpotent ideal , order ideal , hyperplane arrangement , Weyl group , Affine Weyl group , Lie algebra
  • Journal title
    Journal of Algebra
  • Serial Year
    2002
  • Journal title
    Journal of Algebra
  • Record number

    696056

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=696056