curver.kernel.permutation module

A module for representing permutations in Sym(N).

class curver.kernel.permutation.Permutation(perm)

Bases: object

This represents a permutation on 0, 1, …, N-1.

classmethod from_index(N, index)

Return the permutation in Sym(N) with the given index.

index()

Return the index of this permutation in the (sorted) list of all permutations on this many symbols.

inverse()

Return the inverse of this permutation.

is_even()

Return whether this permutation is the composition of an even number of transposiions.

matrix()

Return the corresponding permutation matrix.

That is, a matrix M such that M * e_i == e_{self[i]}.

order()

Return the order of this permutation.