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Timeline for A Question on Exterior Forms

Current License: CC BY-SA 3.0

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Jun 23, 2014 at 20:31 vote accept Tatin
Jun 23, 2014 at 20:31
Nov 22, 2012 at 6:59 comment added Tatin @Sergei: Thank you. Very nice example!!.
Nov 22, 2012 at 6:54 vote accept Tatin
Nov 22, 2012 at 6:54
Nov 22, 2012 at 2:25 comment added Robert Bryant @Sergei: That's a nice example. It, too, has a lot of symmetry since it is invariant under the diagonal action of $\mathrm{O}(3)$ when you split it as $(x_1,x_3,x_5)\oplus(x_2,x_4,x_6)$. That plus the obvious scaling and exchange makes a group of dimension $4$ that acts irreducibly on $\mathbb{R}^6$. Is there a larger subgroup of $\mathrm{GL}(6)$ that preserves this subspace of $\Lambda^2(\mathbb{R}^6)$?
Nov 22, 2012 at 0:14 history answered Sergei Ivanov CC BY-SA 3.0