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