> | ### 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
See also: hilb; multigrading_lib; rinvar_lib.

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