7.5.13 nchilbert_lib

Library:

nchilbert.lib

Purpose:

Hilbert series, polynomial and multiplicity for G-Algebras (Plural)

Authors:

Andre Ranft, andre.ranft at rwth-aachen.de
Viktor Levandovskyy, levandov at rwth-aachen.de

Overview:

The theory is found in the book by Bueso, Gomez-Torrecillas, and Verschoren Algorithmic Methods in Non-Commutative Algebra. Applications to Quantum Groups. and in the bachelor thesis by
Andre Ranft, Hilbert polynomials of modules over noncommutative G-algebras, RWTH Aachen, 2014.

Procedures:

7.5.13.0. ncHilb		computes first resp. second Hilbert series of a module as bigintvec
7.5.13.0. ncHilbertSeries		computes first resp. second Hilbert series of a module as a poly
7.5.13.0. ncHilbertPolynomial		computes the Hilbert polynomial of coker(M)
7.5.13.0. ncHilbertMultiplicity		computes the (Hilbert) multiplicity of coker(M)
7.5.13.0. GKExp		computes the Gelfand-Kirillov dimension of coker(M)
7.5.13.0. mondim		computes the dimension of the monoid ideal B