Equivariant Log Concavity and Representation Stability

Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot, Eric Ramos

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We expand upon the notion of equivariant log concavity and make equivariant log concavity conjectures for Orlik-Solomon algebras of matroids, Cordovil algebras of oriented matroids, and Orlik-Terao algebras of hyperplane arrangements. In the case of the Coxeter arrangement for the Lie algebra s l n, we exploit the theory of representation stability to give computer-assisted proofs of these conjectures in low degree.

Original languageEnglish
Pages (from-to)3885-3906
Number of pages22
JournalInternational Mathematics Research Notices
Volume2023
Issue number5
DOIs
StatePublished - 1 Mar 2023

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