Timeline for PBW-Theorem and multigraded Lie algebras
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 27, 2012 at 18:59 | vote | accept | Lucas | ||
| Jan 25, 2012 at 20:30 | comment | added | DamienC | Well. If $V$ is homogeneous of degree $k$ then $S^c(V)$ is homogeneous of degree $ck$. That's all what you need to know. | |
| Jan 25, 2012 at 18:53 | comment | added | Lucas | Ok. I can see that you are using this fact. But I can't see how you are adjusting the powers of these symmetric algebras. | |
| Jan 25, 2012 at 17:11 | comment | added | DamienC | Dear Lucas. I used the fact that $S(V\oplus W)=S(V)\otimes S(W)$. Then from the PBW theorem you get that $U(\mathfrak a_+)[k]$ is isomorphic to $S(\mathfrak a_+)[k]$ as a $\mathfrak a[0]$-module. | |
| Jan 25, 2012 at 14:32 | comment | added | Lucas | Could you give me details or reference? I don't know how to get this expression! | |
| Jan 25, 2012 at 10:37 | history | answered | DamienC | CC BY-SA 3.0 |