muEC::SG::SgDimRep – computes the dimension of a representation

The muEC::SG::SgDimRep function computes the dimension of the irreducible representation of index part, for the symmetric group of order the weight of part.

When part is a skew partition, it computes the dimension of the representation indexed by the skew partition math.

Adding the parameter q, it computes the specialization of math or math in math.

→ Examples

Call:

muEC::SG::SgDimRep(part)

Parameters:

part

any list denoting a (skew) partition

Related Functions:

muEC::SG::SgCharTable

Example 1:

muEC::SG::SgDimRep( [4,4,3,2,1,1,1] );

math

muEC::SG::SgDimRep( [[4,2,1,1], [2,1]] );

math

muEC::SG::SgDimRep([[4,2,1,1], [2,1]], q);

math