Hilbert series in the category of trees with contractions

Research output: Contribution to journalArticlepeer-review

Abstract

We consider Hilbert series associated to modules over various categories of trees. Using the technology of Sam and Snowden (J Am Math Soc 30(1): 159–203, 2017) we show that these Hilbert series must be algebraic. We then apply these technical theorems to prove facts about certain natural generating functions associated to trees.

Original languageEnglish
Pages (from-to)1831-1852
Number of pages22
JournalMathematische Zeitschrift
Volume298
Issue number3-4
DOIs
StatePublished - Aug 2021

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