"Source: Text/LieTheory/GrpLie.text";
"Line: 2405";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/LieTheory/GrpLie.text, line: 2405
// Example: H110E24 ()
print "Example: H110E24";
ei := GetEchoInput();
SetEchoInput(true);
G := GroupOfLieType("A2", Rationals() : Isogeny := "SC");
rho := StandardRepresentation(G);
rho(elt< G | 1 >);
rho(elt<G | <2,1/2> >);
rho(elt< G | VectorSpace(Rationals(),2)![3,5] >);
G := GroupOfLieType("A2", Rationals());
Invariants(CoisogenyGroup(G));
rho := StandardRepresentation(G);
BaseRing(Codomain(rho));
rho(elt< G | VectorSpace(Rationals(),2)![3,1] >);
rho(elt< G | VectorSpace(Rationals(),2)![3,1] >)^3;
SetEchoInput(ei);
