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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 @url{https://cs.uwaterloo.ca/~aheinle/}.

Procedures:

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.


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