Timeline for Looking for interesting actions that are not representations
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 14, 2011 at 9:45 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
added 7 characters in body
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| Feb 28, 2011 at 1:10 | vote | accept | Marek | ||
| Feb 23, 2011 at 14:32 | comment | added | Daniel Loughran | A related example comes from the theory of K3 surfaces. Here, their automorphism groups can be infinite and are not "linearisable", by which I mean do not extend to an automorphism of projective space. However, one can understand this group action by studying its representation on the 2nd cohomology group. | |
| Feb 23, 2011 at 14:06 | comment | added | Pete L. Clark | On the other hand, one of the key tools for understanding / classifying the action of $G$ on a compact Riemann surface $X$ is via its associated representation on the space $H^0(X,\Omega^1)$ of global holomorphic differentials. So the representation theory is there lurking just beneath the surface. (Which is a good thing, IMO...) | |
| Feb 22, 2011 at 19:18 | history | answered | Francesco Polizzi | CC BY-SA 2.5 |