Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights
Group Theory
2014-03-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1403.1387,
title = {Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights},
author = {Donna Testerman and Alexandre Zalesski},
journal= {arXiv preprint arXiv:1403.1387},
year = {2014}
}