Package sagbi/SB.TorRingHS

From ApCoCoAWiki
This article is about a function from ApCoCoA-2.

SB.TorRingHS

This function computes the Hilbert series of the subalgebra generated by a given set of terms.

Syntax

SB.TorRingHS(G: LIST of POLY): TAGGED(<quotes>$hp.PSeries</quotes>)

Description

This function takes a list of terms G all of the same polynomial ring R over the field K and computes the Hilbert series of the standard-graded subalgebra S = K[g|g in G] of R.

  • @param G A list of terms in R

  • @return The Hilbert series of the subalgebra K[g|g in G] of R

Example

Use QQ[x,y];
G := [x^2*y,  y^2,  x^2*y^2,  x^2*y^4];
SB.TorRingHS(G);
-----------------------------------------------------------------------------
---  Non-simplified HilbertPoincare' Series  ---
(1 - t^6 - t^8 + t^14) / ( (1-t^3)*(1-t^2)*(1-t^4)*(1-t^6) )

See also

Package sagbi/SB.GetHS

Package sagbi/SB.IsGraded

Package sagbi/SB.SubalgebraHS