Timeline for Surjectivity of differential operators with constant coefficients
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Nov 23, 2018 at 12:18 | comment | added | Vladimir Dotsenko | @abx more specifically to this argument, monomials are orthogonal but not orthonormal, and for a monomial $M$, the pairing $\langle M,M\rangle$ vanishes in characteristic $p$ if $p$ is less than or equal to one of the exponents of $M$. | |
| Nov 22, 2018 at 7:12 | comment | added | abx | Right, thanks. This is needed for the duality between symmetric powers. | |
| Nov 21, 2018 at 22:07 | comment | added | Mizar | @abx I think the argument needs a field of characteristic 0, or at least characteristic not dividing $(m+n)!$ (here $n$ is not the number of variables) | |
| Nov 21, 2018 at 17:27 | comment | added | abx | Nice, thanks! In fact that works over any field, you just need to view $R(\partial )$ as an element of $V_n^{*}$. | |
| Nov 21, 2018 at 17:24 | vote | accept | abx | ||
| Nov 21, 2018 at 15:51 | history | answered | fedja | CC BY-SA 4.0 |