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Sep 15, 2021 at 16:31 history edited Bobech CC BY-SA 4.0
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Sep 15, 2021 at 16:30 comment added Bobech One can prove that $OG(2,7)$ is the quotient of the orthogonal special group $SO(7)$ by a parabolic subgroup. In particular it is a rational homogeneous projective variety of Picard number 1. By a representation of $OG(2,7)$ I mean a representation of $SO(7)$
Sep 15, 2021 at 16:26 comment added Qfwfq If I understand correctly, you defined $OG(2,7)$ as a set or a variety. What do you mean by "a representation of $OG(2,7)$"? Did you mean "a representation of $O(V;q)$" instead, or something like that?
Sep 15, 2021 at 15:45 history asked Bobech CC BY-SA 4.0