SYMF - library for symmetric functions
Char2Sf -
converts a virtual character into a symmetric function
Sf2Char -
converts a symmetric function into a virtual character
Sf2Table -
converts a symmetric function into a table
Sf2TableVar -
variable set of a symmetric function
SfCCProd -
computes the conjugacy class product of symmetric functions
SfCollect -
collects products that are on algebraic bases (e, h, p)
and expands products on linear bases (m, s)
SfDiff -
differential operator
SfInternal -
computes the inner tensor product of symmetric functions
SfEval -
realizes the action of symmetric functions on polynomials
SfJtMat -
computes the Jacobi-Trudi matrix
SfMat -
transition matrix between symmetric functions bases
SfOmega -
applies the Omega-automorphism
SfPlethysm -
plethysm of symmetric functions
SfScalar -
scalar product of symmetric functions
SfTheta -
applies the Theta-automorphism
SfZee -
computes the scalar product of a p-function with
itself
Table2Sf -
converts a table into a symmetric function
Toe -
converts any symmetric function into a e-polynomial
Toh -
converts any symmetric function into a h-polynomial
Tom -
converts any symmetric function into a m-polynomial
Top -
converts any symmetric function into a p-polynomial
Tos -
converts any symmetric function into a s-polynomial
MuPAD Combinat, an open source algebraic combinatorics package