dimension_symmetrization
synopsis: INT dimension_symmetrization(OP n,part,a)
description:
computes the dimension of the degree of a irreducible representation of the GL_n, n is a INTEGER object, labeled by the PARTITION object a.return:
OK if no error occured.example:
#include "def.h" #include "macro.h" main() { OP a,b,c; anfang(); a=callocobject(); b=callocobject(); c=callocobject(); printeingabe("Enter the degree of the linear group:"); scan(INTEGER,b); printeingabe("Enter the part labeling the irrep of the linear group:"); scan(PARTITION,a); printeingabe("The degree of the irrep is:"); dimension_symmetrization(b,a,c); println(c); freeall(a); freeall(b); freeall(c); ende(); }
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