Package sagbi/SB.TorRingHS

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This article is about a function from ApCoCoA-2.


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


SB.TorRingHS(G: LIST of POLY): TAGGED("$hp.PSeries")


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


Use QQ[x,y];
G := [x^2*y,  y^2,  x^2*y^2,  x^2*y^4];
---  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