STABILITY PHENOMENA FOR RESONANCE ARRANGEMENTS

Nicholas Proudfoot; Eric Ramos

doi:10.1090/bproc/71

STABILITY PHENOMENA FOR RESONANCE ARRANGEMENTS

Nicholas Proudfoot, Eric Ramos

Department of Mathematical Sciences

University of Oregon

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	219-223
Number of pages	5
Journal	Proceedings of the American Mathematical Society, Series B
Volume	8
DOIs	https://doi.org/10.1090/bproc/71
State	Published - 2021

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title = "STABILITY PHENOMENA FOR RESONANCE ARRANGEMENTS",

abstract = "We prove that the ith graded pieces of the Orlik–Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FSopmodule, thus obtaining information about the growth of their dimensions and restrictions on the irreducible representations of symmetric groups that they contain.",

author = "Nicholas Proudfoot and Eric Ramos",

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AU - Ramos, Eric

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

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U2 - 10.1090/bproc/71

DO - 10.1090/bproc/71

M3 - Article

AN - SCOPUS:85148301667

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SP - 219

EP - 223

JO - Proceedings of the American Mathematical Society, Series B

JF - Proceedings of the American Mathematical Society, Series B

ER -

STABILITY PHENOMENA FOR RESONANCE ARRANGEMENTS

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