Timeline for Recognizing the stablizer of a degenerate three forms in six dimension
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 23, 2013 at 14:16 | vote | accept | CommunityBot | ||
| Feb 23, 2013 at 14:16 | history | bounty ended | CommunityBot | ||
| Feb 22, 2013 at 15:32 | history | edited | Robert Bryant | CC BY-SA 3.0 |
added information about the stabilizers
|
| Feb 20, 2013 at 15:41 | comment | added | Robert Bryant | @Hassan: Unfortunately, I don't have time to put in these details right now. Case 5 should be clear, though. Using the index conventions $1\le i,j,k\le 3 < a,b,c\le 6$, if ${\bar e}^1,\ldots,{\bar e}^6$ is another basis of $V$ such that ${\bar e}^1\wedge{\bar e}^2\wedge{\bar e}^3= e^1\wedge e^2\wedge e^3$, then we'll have ${\bar e}^i = p^i_j\ e^j$ with $\det(p^i_j)=1$ and ${\bar e}^a = q^a_j\ e^j + p^a_b\ e^b$ where $\det(p^a_b)\not=0$ and the $q^a_j$ are arbitrary. This shows that the group of linear transformations that preserve $\phi_5$ must be what I claim it to be. | |
| Feb 20, 2013 at 15:38 | comment | added | user21574 | We know that for the $Sp(V)$-action we have same results of V.Lychagin about stabilizers of degnerate 3-forms in six dimension . but for the general case $GL(v)$ you left the cases of 4 and 5 without reason | |
| Feb 20, 2013 at 0:48 | comment | added | user21574 | Dear @Robert,is it possible for you to explain with more details the cases of 4 and 5(because in your paper I couldn't find a reason for cases 4,5 about stabilizers) ? | |
| Feb 19, 2013 at 19:10 | history | edited | Robert Bryant | CC BY-SA 3.0 |
added information about stabilizers
|
| Feb 19, 2013 at 15:53 | history | answered | Robert Bryant | CC BY-SA 3.0 |