Timeline for Theta group representation
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 4, 2015 at 12:49 | vote | accept | rfauffar | ||
| Jun 4, 2015 at 12:49 | |||||
| Feb 15, 2013 at 17:07 | comment | added | Yuri Zarhin | The answer is the same: iff the polarization is principal. If it is not principal then one may take the projectivization $P(W)$ of any proper nonzero $K_i$-invariant vector subspace $W$ of $H^0(X,L)$; this $P(W)$ is $K_i$-stable. | |
| Feb 10, 2013 at 4:04 | comment | added | rfauffar | Now, I'm not asking necessarily when the linear representation of $K_i$ es irreducible (since by what you said, $L$ would have to be a principal polarization), but when the projective representation is irreducible; i.e., the group doesn't fix any projective linear space of $\mathbb{P}H^0(L)$... | |
| Feb 8, 2013 at 14:36 | history | answered | Yuri Zarhin | CC BY-SA 3.0 |