most recent 30 from http://mathoverflow.net 2013-05-23T15:19:00Z http://mathoverflow.net/feeds/question/97109 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/97109/is-there-a-brief-name-for-the-symmetric-space-sl-2n-sp-2n Michael Joyce 2012-05-16T11:02:48Z 2012-05-17T02:10:39Z

<p>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 $V$.</p> <p>(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 $V$"?</p> <p>(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?</p>