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gap> h1 := HermitianPolarSpace(2, 3^2);
H(2, 3^2)
gap> h2 := HermitianPolarSpace(3, 3^2);
H(3, 3^2)
gap> pg := AmbientSpace( h2 );
ProjectiveSpace(3, 9)
gap> pi := VectorSpaceToElement( pg, [[1,0,0,0],[0,1,0,0],[0,0,1,0]] * Z(9)^0 );
<a plane in ProjectiveSpace(3, 9)>
gap> em := NaturalEmbeddingBySubspace( h1, h2, pi );
<geometry morphism from <Elements of H(2, 3^2)> to <Elements of H(3, 3^2)>>
gap> ps1 := ParabolicQuadric(4,4);
Q(4, 4)
gap> ps2 := ParabolicQuadric(6,4);
Q(6, 4)
gap> pg := AmbientSpace( ps2 );
ProjectiveSpace(6, 4)
gap> pi := VectorSpaceToElement( pg, [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],
> [0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] * Z(4)^0 );
<a proj. 4-space in ProjectiveSpace(6, 4)>
gap> em := NaturalEmbeddingBySubspace( ps1, ps2, pi );
<geometry morphism from <Elements of Q(4, 4)> to <Elements of Q(6, 4)>>
gap> List(Lines(ps1),x->x^em);
[ <a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)>, <a line in Q(6, 4)>, <a line in Q(6, 4)>,
<a line in Q(6, 4)> ]
[ Dauer der Verarbeitung: 0.13 Sekunden
(vorverarbeitet)
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