TY - JOUR
T1 - Equivariant Log Concavity and Representation Stability
AU - Matherne, Jacob P.
AU - Miyata, Dane
AU - Proudfoot, Nicholas
AU - Ramos, Eric
N1 - Publisher Copyright:
© 2021 The Author(s). Published by Oxford University Press. All rights reserved.
PY - 2023/3/1
Y1 - 2023/3/1
N2 - 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.
AB - 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.
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U2 - 10.1093/imrn/rnab352
DO - 10.1093/imrn/rnab352
M3 - Article
AN - SCOPUS:85152548588
SN - 1073-7928
VL - 2023
SP - 3885
EP - 3906
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 5
ER -