SYMF::SfJtMat --
computes the Jacobi-Trudi matrix
Call(s)
SYMF::SfJtMat(part <,b>)
Parameterspart | - | any list denoting a (skew) partition |
b | - | any name |
IntroductionThe 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.
Example 1>> 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 |
+- -+
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package