Timeline for Classical invariant theory: absolute rational invariants and $GL(2)$-orbits
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2011 at 23:41 | comment | added | algori | Dear Alexander -- of course I don't mind if you mention this conversation in a paper. Re my name: I will shortly send you an email. | |
| May 30, 2011 at 23:26 | vote | accept | Alexander Isaev | ||
| May 30, 2011 at 23:00 | comment | added | Alexander Isaev | I have thought about what you said, and I now agree. I am wondering if you let me mention this fact in one of my papers. Can I refer to "personal communications" with you? If you do not mind my doing that, what is your name? Thank you again for your answer. | |
| May 30, 2011 at 6:44 | comment | added | algori | The easiest way to see this is this: if we projectivize the space of non-degenerate forms, we get an unordered configuration space of $\mathbb{P}^1$. Now, a subgroup of $PGL_2(\mathbb{C})$ of positive dimension can not preserve a subset with more than 2 elements. | |
| May 30, 2011 at 6:36 | comment | added | algori | When the degree is greater than 2, it does. | |
| May 30, 2011 at 6:17 | comment | added | Alexander Isaev | Thank you for that, but does $GL_2({\Bbb C})$ really act with finite stabilizers? For example, for the quadratic form $xy$ all the maps $x\mapsto c x$, $y\mapsto 1/c y$ are in the stabilizer. | |
| May 30, 2011 at 1:03 | history | answered | algori | CC BY-SA 3.0 |