Subgroups of simple algebraic groups containing regular tori, and   irreducible representations with multiplicity 1 non-zero weights
  Our main goal is to determine, under certain restrictions, the maximal closed connected subgroups of simple algebraic groups containing a regular torus. We call a torus regular if its centralizer is abelian.   We also obtain some results of independent interest. In particular, we determine the irreducible representations of simple algebraic groups whose non-zero weights occur with multiplicity 1. 
Donna Testerman and Alexandre Zalesski
math.GR