Singular

7.7.13 ncfactor_lib

Library:

ncfactor.lib

Purpose:

Tools for factorization in some noncommutative algebras

Authors:

Albert Heinle, aheinle@uwaterloo.ca
Viktor Levandovskyy, levandov@math.rwth-aachen.de

Overview:

In this library, new methods for factorization on polynomials are implemented for three types of algebras, all generated by 2*n, n in NN, generators (n'th Weyl, n'th shift and graded polynomials in n'th q-Weyl algebras) over a field K.
More detailled description of the algorithms and related publications can be found at https://cs.uwaterloo.ca/~aheinle/.

Procedures:

7.7.13.0. ncfactor		Factorization in any G-algebra.
7.7.13.0. facWeyl		Factorization in the n'th Weyl algebra
7.7.13.0. facFirstWeyl		Factorization in the first Weyl algebra
7.7.13.0. testNCfac		Tests factorizations from a given list for correctness
7.7.13.0. facSubWeyl		Factorization in the first Weyl algebra as a subalgebra
7.7.13.0. facShift		Factorization in the n'th shift algebra
7.7.13.0. facFirstShift		Factorization in the first shift algebra
7.7.13.0. homogfacNthQWeyl		Homogeneous factorization in the n'th Q-Weyl algebra
7.7.13.0. homogfacFirstQWeyl		Homogeneous factorization in the first Q-Weyl algebra
7.7.13.0. homogfacNthQWeyl_all		Homogeneous factorization (complete) in the n'th Q-Weyl algebra
7.7.13.0. homogfacFirstQWeyl_all		Homogeneous factorization (complete) in the first Q-Weyl algebra
7.7.13.0. tst_ncfactor		Runs the examples of all contained not static functions. Test thing.