Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772044 | Journal of Algebra | 2017 | 10 Pages |
Abstract
Let R be the polynomial ring K[xi,j] where 1â¤iâ¤r and jâN, and let I be an ideal of R stable under the natural action of the infinite symmetric group Sâ. Nagel-Römer recently defined a Hilbert series HI(s,t) of I and proved that it is rational. We give a much shorter proof of this theorem using tools from the theory of formal languages and a simple algorithm that computes the series.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Robert Krone, Anton Leykin, Andrew Snowden,