Dear GAP Forum,
For some work I've been doing recently, I need to know the following.
Let p be a prime and let g>1. Denote by Sp(2g,Z/pZ) the symplectic group
over Z/pZ and by V(2g,Z/pZ) the symplectic Lie algebra over Z/pZ with the
adjoint action of Sp(2g,Z/pZ). I need to calculate
H^1(Sp(2g,Z/pZ),V(2g,Z/pZ))
for some small p and g (it is known for large p and g).
I am under the impression that GAP can do this, but I am having trouble
figuring out how to do it. I can figure it out for simpler
representations of Sp(2g,Z/pZ), like the standard one on (Z/pZ)^{2g},
but I can't figure out how to get the adjoint representation. Thank you
very much for any help!
best,
Andy Putman
_______________________________________________
Forum mailing list
Forum@mail.gap-system.org
http://mail.gap-system.org/mailman/listinfo/forum
