Abstract
Let G be a reductive algebraic group defined over an algebraically closed field k. Let H be a closed connected subgroup of G containing a maximal torus T of G. In [13] it was shown (at least in characteristic zero) that the parabolic subgroups of G can be characterized among all such subgroups H by a certain finiteness property of the induction functor (-)Iz and its derived functors Lk,G(-). This theme is continued in the present paper, where it is shown that the parabolic subgroups can be characterized by yet another familiar property of the induction functor, at least in characteristic zero. We also obtain several results which are independent of the characteristic by added hypotheses on H, or by using the restriction functor
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