Timeline for Why are these graphs coming from 9-dimensional alternating trilinear forms so symmetric?
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| Nov 17, 2022 at 13:42 | vote | accept | Ward Beullens | ||
| Nov 17, 2022 at 13:42 | history | edited | Ward Beullens |
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| Nov 17, 2022 at 13:41 | answer | added | Ward Beullens | timeline score: 8 | |
| Nov 9, 2022 at 19:25 | comment | added | Ward Beullens | So it appears that rank 4 and dimension 9 is special somehow. | |
| Nov 9, 2022 at 19:17 | comment | added | Ward Beullens | @MarcoGolla For $n \leq 8$ there is a huge number of automorphisms, just because $|GL(n,q)|\approx q^{n^2} > |ATF(n,q)| = q^{\binom{n}{3}}$, so these behave differently. For $n \geq 10$ I don't see the symmetries (although I didn't do a lot of experiments, because the graphs become very large and hard to compute). For $n=9$ I focus on rank 4, because that is whp the smallest rank that appears. | |
| Nov 9, 2022 at 16:56 | comment | added | Marco Golla | What is so special about rank 4 and dimension 9? Do you have similarly unexpected symmetries for other ranks/dimensions? | |
| Nov 9, 2022 at 9:41 | history | edited | Ward Beullens | CC BY-SA 4.0 |
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| Nov 8, 2022 at 20:06 | history | edited | YCor |
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| Nov 8, 2022 at 13:50 | history | edited | Ward Beullens | CC BY-SA 4.0 |
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| Nov 8, 2022 at 13:43 | comment | added | David Roberts♦ | In case the link you supplied rots sometime in the next decade, your paper at the link is titled Graph-theorethic Algorithms for the Alternating Trilinear Form Equivalence problem | |
| S Nov 8, 2022 at 13:29 | review | First questions | |||
| Nov 8, 2022 at 14:27 | |||||
| S Nov 8, 2022 at 13:29 | history | asked | Ward Beullens | CC BY-SA 4.0 |