SG - library for the symmetric group
Code2Perm -
calculates a permutation from its code
CompPerm -
compares two permutations
Cycle2Perm -
calculates the permutation from its decomposition into
disjoint cycles
Desc2ListPerm -
generates all permutations with a given descent set
FactorPerm -
tests whether a permutation factorizes into a direct product
GenPerm -
generates an element of the symmetric group
ListPerm -
generates all permutations
Mat2Perm -
calculates a permutation from its matrix
MultPerm -
multiply permutations
Part2SgCC -
computes a conjugacy class of the symmetric group
Perm2Betti -
computes the Betti polynomial
Perm2Code -
calculates the code of a permutation
Perm2CycleType -
computes the cycle type of a permutation
Perm2Cycle -
decomposes a permutation into disjoint cycles
Perm2Desc -
computes the list of descents of a permutation
Perm2Interval -
computes all codes of permutations below a given one
Perm2Inv -
inverts a permutation
Perm2Length -
calculates the length of a permutation
Perm2ListInv -
calculates the set of inversions of a permutation
Perm2ListRd -
lists all reduced decompositions of a given permutation
Perm2Mat -
calculates the permutation matrix
Perm2RRep -
calculates the matrix representing a permutation in the
regular representation
Perm2Rd -
calculates a canonical reduced decomposition of a
permutation
Perm2Rise -
computes the list of rises of a permutation
Perm2Rothe -
calculates the Rothe diagram of a permutation
Perm2Sign -
returns the signature of a permutation
RRep2Perm -
calculates a permutation from its matrix in the regular
representation
RandPerm -
returns a random permutation
Rd2Perm -
calculates a permutation from a decomposition
SgCharTable -
computes the table of characters
SgDimRep -
computes the dimension of a representation
SgTranspo -
returns a transposition
Vect2Perm -
computes a canonical permutation from a vector
MuPAD Combinat, an open source algebraic combinatorics package