[Contents]

SYMF - library for symmetric functions

Table of contents

    1. The library muEC::SYMF
  1. Char2Sf - converts a virtual character into a symmetric function
  2. Sf2Char - converts a symmetric function into a virtual character
  3. Sf2Table - converts a symmetric function into a table
  4. Sf2TableVar - variable set of a symmetric function
  5. SfCCProd - computes the conjugacy class product of symmetric functions
  6. SfCollect - collects products that are on algebraic bases (e, h, p) and expands products on linear bases (m, s)
  7. SfDiff - differential operator
  8. SfInternal - computes the inner tensor product of symmetric functions
  9. SfEval - realizes the action of symmetric functions on polynomials
  10. SfJtMat - computes the Jacobi-Trudi matrix
  11. SfMat - transition matrix between symmetric functions bases
  12. SfOmega - applies the Omega-automorphism
  13. SfPlethysm - plethysm of symmetric functions
  14. SfScalar - scalar product of symmetric functions
  15. SfTheta - applies the Theta-automorphism
  16. SfZee - computes the scalar product of a p-function with itself
  17. Table2Sf - converts a table into a symmetric function
  18. Toe - converts any symmetric function into a e-polynomial
  19. Toh - converts any symmetric function into a h-polynomial
  20. Tom - converts any symmetric function into a m-polynomial
  21. Top - converts any symmetric function into a p-polynomial
  22. Tos - converts any symmetric function into a s-polynomial

[Contents]


MuPAD Combinat, an open source algebraic combinatorics package