SYMF::SfJtMat
--
computes the Jacobi-Trudi matrix
SYMF::SfJtMat(part <,b>)
part | - | any list denoting a (skew) partition |
b | - | any name |
The SYMF::SfJtMat
function computes the Jacobi-Trudi matrix
corresponding to the (skew) partition part
. The
determinant of this matrix is exactly the Schur function indexed
by the partition, expressed in the h
-basis.
When given a second argument, b
, SYMF::SfJtMat
returns a result
expressed on the b
-basis.
>> muEC::SYMF::SfJtMat( [3,2,1,1] );
+- -+ | h[3], h[4], h[5], h[6] | | | | h[1], h[2], h[3], h[4] | | | | 0, 1, h[1], h[2] | | | | 0, 0, 1, h[1] | +- -+
>> muEC::SYMF::SfJtMat( [[2,1], [1]] );
+- -+ | h[1], h[3] | | | | 0, h[1] | +- -+
>> muEC::SYMF::SfJtMat( [[2,2,1], [1,1,1]], b );
+- -+ | b[1], b[2], b[3] | | | | 1, b[1], b[2] | | | | 0, 0, 1 | +- -+
MuPAD Combinat, an open source algebraic combinatorics package