Homological invariants of FI-modules and FIG-modules

Eric Ramos

doi:10.1016/j.jalgebra.2017.12.037

Homological invariants of FI-modules and FI_G-modules

Eric Ramos

Department of Mathematical Sciences

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

12 Scopus citations

Abstract

We explore a theory of depth for finitely presented FI_G-modules. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.

Original language	English
Pages (from-to)	163-195
Number of pages	33
Journal	Journal of Algebra
Volume	502
DOIs	https://doi.org/10.1016/j.jalgebra.2017.12.037
State	Published - 15 May 2018

Keywords

FI-modules
Representation stability

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10.1016/j.jalgebra.2017.12.037

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title = "Homological invariants of FI-modules and FIG-modules",

abstract = "We explore a theory of depth for finitely presented FIG-modules. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.",

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AB - We explore a theory of depth for finitely presented FIG-modules. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.

KW - FI-modules

KW - Representation stability

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UR - https://www.scopus.com/pages/publications/85044568286#tab=citedBy

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DO - 10.1016/j.jalgebra.2017.12.037

M3 - Article

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VL - 502

SP - 163

EP - 195

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Homological invariants of FI-modules and FI_G-modules

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Keywords

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