Let $V$ be a complex vector space of even dimension. Then the homogeneous space $SL_{2n}(V) / SP_{2n}(V)$ is known to parametrize the space of non-degenerate skew-symmetric bilinear forms on $V$.

(1) Can anyone provide a reference in the literature which refers to this space with a name that is briefer than "the space of non-degenerate skew-symmetric bilinear forms on $V$"?

(2) If there seem to be no adequate answers to question (1) in the affirmative, does anyone have any suggestions for a compact name of this space?