Adapted algebras and standard monomials

  • P. Caldero, P. Littelmann
  • Published 2002


Let G be a complex semisimple Lie group. The aim of this article is to compare two basis for G-modules, namely the standard monomial basis and the dual canonical basis. In particular, we give a sufficient condition for a standard monomial to be an element of the dual canon-ical basis and vice versa.