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

Donna Testerman; Alexandre Zalesski

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arXiv · 1403.1387

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

Donna Testerman·Alexandre Zalesski

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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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BibTeX RIS

Donna Testerman, Alexandre Zalesski. 2014-03-06. Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights. https://arxiv.org/abs/1403.1387

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