Timeline for symplectic representations: when could the center act trivially?
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4 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2011 at 13:59 | comment | added | genshin | it seems that this would not hold in general. Consider the simple Shimura varieties defined by unitary groups associated to division algebras over CM fields as those used in Harris-Taylor. Then the groups one obtains are extensions of split $\mathbb{Q}$-tori by unitary groups whose centers do not split over $\mathbb{R}$, while the derived groups acts faithfully on the corresponding symplectic modules. | |
| Nov 30, 2011 at 15:59 | comment | added | Alex B. | Crossposted on math.SE: math.stackexchange.com/questions/87084/… | |
| Nov 30, 2011 at 15:07 | comment | added | genshin | It seems that the arguments in Milne's survey come out of, or are similar to, Satake's papers on the classification of equivariant embeddings of Hermitian domains into a Siegel domain. | |
| Nov 30, 2011 at 12:01 | history | asked | turtle | CC BY-SA 3.0 |