SG::SgDimRep
--
computes the dimension of a representation
SG::SgDimRep(part)
part | - | any list denoting a (skew) partition |
The 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
part[1]/part[2]
.
Adding the parameter q
, it computes the specialization of
s[part]
or
s[part[1]/part[2]]
in
x1=1, x2=q
, ....
>> muEC::SG::SgDimRep( [4,4,3,2,1,1,1] );
512512
>> muEC::SG::SgDimRep( [[4,2,1,1], [2,1]] );
30
>> muEC::SG::SgDimRep([[4,2,1,1], [2,1]], q);
2 2 2 3 4 q (q + q + 1) (q + 1) (q + q + q + q + 1)
MuPAD Combinat, an open source algebraic combinatorics package