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 linear 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.


Published in:
Transformation Groups, 20, 3, 831-861
Year:
2015
Publisher:
New York, Springer Verlag
ISSN:
1083-4362
Laboratories:




 Record created 2015-09-28, last modified 2018-03-17

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