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D.15.33.18 symmetricPowerSheaf

Procedure from library schubert.lib (see schubert_lib).

Usage:
symmetricPowerSheaf(S,n); S sheaf, n int

Return:
sheaf

Theory:
This is the n-th symmetric power of a sheaf

Example:
 
LIB "schubert.lib";
variety G = Grassmannian(2,4);
def R = G.baseRing;
setring R;
sheaf S = makeSheaf(G,quotientBundle);
sheaf B = symmetricPowerSheaf(S,3);
B;
==> A sheaf of rank  4
==> 
sheaf A = S^3;
A;
==> A sheaf of rank  4
==> 
A.ChernCharacter == B.ChernCharacter;
==> 1
See also: addSheaf; dualSheaf; quotSheaf; tensorSheaf.