Timeline for Behaviour of Hilbert functions
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 25, 2011 at 8:12 | comment | added | Wilberd van der Kallen | I do not understand the question. What is the point of the finite subset $D$? By truncating a power series like that you make it a polynomial. Then why do you ask if it is a rational function? | |
| Apr 6, 2011 at 13:44 | answer | added | Steven Sam | timeline score: 1 | |
| Mar 31, 2011 at 11:18 | comment | added | Tanja Becker | You are right, I want M (and M') to be finitely generated as an R-algebra, but it need not be finite as an R-module. An example is to take G = Sl_2, R = C, M the regular representation of Sl_2, so that h(n) = n+1. How does h' look like for subrepresentations M' of M? | |
| Mar 31, 2011 at 5:26 | comment | added | Peter McNamara | I was wondering, do you have any representative examples of these objects you're interested in? For instance, my suspicion is that at least some finiteness assumption on M is missing (eg if R=C with trivial action, then M is just a rep (right?) of G, so we probably want it ifinite dimensional). | |
| Mar 28, 2011 at 13:38 | history | asked | Tanja Becker | CC BY-SA 2.5 |