Quasi-isolated elements in reductive groups
Abstract
A semisimple element s of a connected reductive group G is said quasi-isolated (respectively isolated) if CG(s) (respectively CG0(s)) is not contained in a Levi subgroup of a proper parabolic subgroup of G. We study properties of quasi-isolated semisimple elements and give a classification in terms of the affine Dynkin diagram of G. Tables are provided for adjoint simple groups.
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