ACE (Algebraic Combinatorics Environment)

list ACE is a Maple library which includes packages providing combinatorial tools useful in algebraic combinatorics. Functions are mostly related to the symmetric group and handle such objects as partitions, compositions, permutations, words, Young tableaux, divided differences, (non-commutative) symmetric functions and Schubert polynomials.

Citation:

@manual{ace,
  author = "S. Veigneau",
  title = "{ACE}, an {Algebraic Combinatorics Environment} for the computer
  algebra system {MAPLE}",
  type = "User's Reference Manual, Version 3.0 98-11",
  publisher "Universit{\'e} de Marne-la-Vall{\'e}, Institut Gaspard-Monge, CNRS",
  year = 1998
  }