Maximal Parabolic Subgroups in Classical Groups are of Modality Zero |
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Authors: | Gerhard RÖhrle |
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Affiliation: | (1) Fakultät für Mathematik, Universität, Bielefeld, 33615, Germany |
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Abstract: | The principal aim of this paper is to show that every maximal parabolic subgroup P of a classical reductive algebraic group G operates with a finite number of orbits on its unipotent radical. This is a consequence of the fact that each parabolic subgroup of a group of type An whose unipotent radical is of nilpotent class at most two has this finiteness property. |
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Keywords: | maximal parabolic subgroup reductive algebra Lie groups classical groups. |
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