English

Stability phenomena for resonance arrangements

Combinatorics 2020-11-23 v2 Representation Theory

Abstract

We prove that the ith graded pieces of the Orlik-Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FS^op-module, thus obtaining information about the growth of their dimensions and restrictions on the irreducible representations of symmetric groups that they contain.

Keywords

Cite

@article{arxiv.2011.01323,
  title  = {Stability phenomena for resonance arrangements},
  author = {Eric Ramos and Nicholas Proudfoot},
  journal= {arXiv preprint arXiv:2011.01323},
  year   = {2020}
}
R2 v1 2026-06-23T19:51:57.080Z