Demazure formula for <i>A</i> <i>n</i> Weyl polytope sums
Demazure formula for <i>A</i> <i>n</i> Weyl polytope sums
The weights of finite-dimensional representations of simple Lie algebras are naturally associated with Weyl polytopes. Representation characters decompose into multiplicity-free sums over the weights in Weyl polytopes. The Brion formula for these Weyl polytope sums is remarkably similar to the Weyl character formula. Moreover, the same Lie characters are also …