FUNCTION: OJtMat - Jacobi-Trudi-type matrix

CALLING SEQUENCE:

OJtMat(part)

CG[OJtMat](part)

PARAMETERS:

part = any list denoting a partition

SYNOPSIS:

• The OJtMat function computes the Jacobi-Trudi-type matrix which corresponds to the partition part. Its determinant gives the expression of the orthogonal Schur function O[part] in the h-basis.

• Whenever there is a conflict between the function name OJtMat and another name used in the same session, use the long form CG['OJtMat'].

EXAMPLES:

> with(CG):
> OJtMat([7,4,3]);
 
                   [ h7 - h5  h8 - h4  h9 - h7 + h5 - h3 ]
                   [                                     ]
                   [ h3 - h1   h4 - 1     h5 - h3 + h1   ]
                   [                                     ]
                   [    h1       h2         h3 - h1      ]