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Results tagged with symplectic-group
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user 11142
3
votes
Finding generators of matrix subgroups
This is essentially equivalent to finding the generators of the group of units in number fields, which is not an easy problem (google "fundamental unit"). The way you get there (I will do it for $SL(n …
- 96.4k
2
votes
Zariski density of conjugates of $SL_2(\mathbb{Z})$ in $Sp_{2g}$
A complement to David's answer. Zariski dense (faithful) representations of the $2, 4, 5$ triangle group are constructed by Long and Thistlethwaite's Zariski dense surface subgroups in $SL(4, \mathbb{ …
- 96.4k
1
vote
In H_2 of Sp(2g,Z), why does Meyer's signature cocycle give 4 times a generator?
At least the first statement is proved in Meyer's thesis (Die signatur von lokal...), and a newer proof can be found in:
MR1823605 (2002a:57038) Reviewed
Hoster, Matthias(D-MNCH)
A new proof of the …
- 96.4k