Timeline for A hypersurface in the Grassmannian of endomorphisms.
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2013 at 19:12 | comment | added | Giovanni Moreno | Did you try to see how your polynomial looks like if you Plücker-embed your Grassmannian into $\mathbb{P}\Lambda^{2q}{\frak{sl}}(V)$? I guess you'd discover something related to the Lie algebra cohomology of ${\frak sl}(V)$ and/or its universal enveloping algebra. In fact, if we were in the real case, I would say that $E$ corresonds to a left-invariant distribution on the Lie group $SL(V)$, and that your polynomial captures some integrability properties of $E$. | |
| Apr 22, 2013 at 20:29 | comment | added | JM Landsberg | Not a satisfactory one - when q=1 even the rank of the matrix is well defined and beyond the obvious "rank 0=abelian" I lack a good interpretation. | |
| Apr 19, 2013 at 17:49 | comment | added | Sasha | Do you know such an interpretation for $q = 1$? | |
| Apr 19, 2013 at 17:06 | history | asked | JM Landsberg | CC BY-SA 3.0 |