People interested

Xavier Caruso, Jérémy Le Borgne



If k is a field and \sigma a ring endomorphism of k, the ring of skew polynomials k[X,\sigma] is the usual vector space of polynomials over k equipped with the multiplication deduced from the rule X a = \sigma(a) X (a \in K)

This ring is closely related to \sigma-modules over k and, consequently, to Galois representations.

The aim of the project is to implement usual functions on k[X,\sigma] when k is a finite field.


A class has been written (for now, in python). It supports the following functions:


Do not derive from PolynomialRing_general since this class assumes that the variable commutes with the constants (probably rather hard: need to rewrite many things)

padicSageDays/Projects/SkewPolynomials (last edited 2012-02-23 19:44:31 by caruso)