Package sagbi/SB.TorRingHS
From ApCoCoAWiki
< Package sagbi
Revision as of 13:35, 26 October 2020 by Andraschko (talk | contribs) (Created page with "{{Version|2}} <command> <title>SB.TorRingHS</title> <short_description>This function computes the Hilbert series of the subalgebra generated by a given set of terms.</shor...")
| 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
