Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights

2014/03/06 by Testerman, Donna, Zalesski, Alexandre · 1 citation
#20Gxx #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1403.1387

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.

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