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Rationality of $$G/P$$ for a nonreduced parabolic subgroup-scheme $$P$$. (English) Zbl 0785.20023
It is shown that if $$G$$ is a semisimple linear algebraic group over an algebraically closed field of characteristic $$p>3$$ and $$P$$ a parabolic subgroup scheme of $$G$$, then $$G/P$$ is a rational projective variety.
Reviewer: V.L.Popov (Moskva)

##### MSC:
 20G15 Linear algebraic groups over arbitrary fields 14L15 Group schemes
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