Examples of Symmetrica Routines which are online available:

Representation Theory symmetric group

• computation of charactertable of the symmetric group
• computation of character polynomials of the symmetric group
• computation of decomposition matrix
• computation of dimension of modular representations

partition

• computation of of a random partition
• computation of number of partitions
• computation of plactic class

Schubert polynomials

• computation of Schubert polynomials
• computation of products of Schubert polynomials

Schur function

• computation of Schur polynomial
• computation of products of Schur functions
• computation of reduced decompositons
• computation of number of tableaux
• computation of zonal polynomials