Tohoku Mathematical Journal
2019
March
SECOND SERIES VOL. 71, NO. 1

Tohoku Math. J.
71 (2019), 35-52

Title RATIONAL ORBITS OF PRIMITIVE TRIVECTORS IN DIMENSION SIX

Author Akihiko Yukie

(Received July 13, 2016, revised August 17, 2016)
Abstract. Let $G=\operatorname{GL}(1)\times \mathrm{GSp}(6)$ and $V$ be the irreducible representation of $G$ of dimension 14 over a field of characteristic not equal to 2,3. This is an irreducible prehomogeneous vector space. We determine generic rational orbits and their stabilizers of this prehomogeneous vector space.

Mathematics Subject Classification. Primary 11S90; Secondary 11R34.
Key words and phrases. Prehomogeneous vector spaces, trivectors, rational orbits.

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