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  Equivariant log concavity and representation stability

Matherne, J. P., Miyata, D., Proudfoot, N., & Ramos, E. (2023). Equivariant log concavity and representation stability. International Mathematics Research Notices, 2023(5), 3885-3906. doi:10.1093/imrn/rnab352.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-21FF-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000C-BCC5-2
Genre: Journal Article

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2104.00715.pdf (Preprint), 223KB
 
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 Creators:
Matherne, Jacob P.1, Author           
Miyata, Dane, Author
Proudfoot, Nicholas, Author
Ramos, Eric, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Combinatorics, Representation Theory
 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
$\mathfrak{sl}_n$, we exploit the theory of representation stability to give
computer assisted proofs of these conjectures in low degree.

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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
 Pages: -
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 Rev. Type: Peer
 Identifiers: arXiv: 2104.00715
DOI: 10.1093/imrn/rnab352
 Degree: -

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Title: International Mathematics Research Notices
  Abbreviation : IMRN
Source Genre: Journal
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Publ. Info: Oxford University Press
Pages: - Volume / Issue: 2023 (5) Sequence Number: - Start / End Page: 3885 - 3906 Identifier: -