Timeline for Isotropic subspaces in a symplectic vectorspace over $GF(q)$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 13, 2015 at 16:57 | answer | added | t3suji | timeline score: 1 | |
| Jul 27, 2015 at 10:00 | comment | added | Nick Gill | You only need to prove the statement for $r=n$, as the rest will follow directly... And the statement is true when $2n=4$ and the field is ${\mathbb F}_3$ - see p.33 of this: math.lsu.edu/~hoffman/papers/spreads4.pdf (Whether that provides any evidence for the statement in general, I couldn't say. The group ${\rm Sp}_4(3)$ is a bit special.) | |
| Jul 15, 2015 at 13:51 | answer | added | user76083 | timeline score: 0 | |
| Jul 3, 2015 at 13:36 | comment | added | user33209 | @ Dear Jason, yes you areright, it is totally isotropic! since it relate to symplectic groups, I used finite-group | |
| Jul 3, 2015 at 13:25 | comment | added | Name | by the way in the literature, the subspaces $U$ with $U\subset U^\perp$ are called totally isotropic. | |
| Jul 3, 2015 at 13:22 | comment | added | Name |
why the tag finite-groups?
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| Jul 3, 2015 at 12:27 | comment | added | user33209 | @Jason, I mean the first! | |
| Jul 3, 2015 at 12:26 | comment | added | Jason Starr | When you say "trivial intersection", do you mean that every pairwise intersection is trivial, or do you mean the common intersection of all specified subspaces is trivial? | |
| Jul 3, 2015 at 12:25 | comment | added | user33209 | a set of isotropic subspaces with trivial intersection, that covers $V$ | |
| Jul 3, 2015 at 12:24 | comment | added | Jason Starr | What is an "isotropic spread"? | |
| Jul 3, 2015 at 12:22 | history | asked | user33209 | CC BY-SA 3.0 |