Timeline for Do tori in a symplectic group always have invariant maximal isotropic subspaces?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 12, 2016 at 11:54 | comment | added | Lior Silberman | Seconding Loren, questions about symplectic groups are best first tested on $\mathrm{Sp}_2=\mathrm{SL}_2$. | |
| Feb 11, 2016 at 19:29 | comment | added | LSpice | @PaulBroussous has mentioned that the answer is 'no' very generally, but, as a specific example, suppose that your field has odd (or zero) characteristic, and contains a non-square $\alpha$ such that the equation $x^2 - \alpha y^2 = 1$ has a solution over the field. Then $\begin{pmatrix} x & y \\ \alpha y & x \end{pmatrix}$ lies in a torus, and it preserves the 2-dimensional symplectic form but no rational line. | |
| Jan 31, 2016 at 3:06 | vote | accept | kneidell | ||
| Jan 31, 2016 at 0:58 | answer | added | Paul Broussous | timeline score: 6 | |
| Jan 31, 2016 at 0:48 | history | asked | kneidell | CC BY-SA 3.0 |