On computing the eventual behavior of an 𝐹𝐼-module over the rational numbers-Reference-Cited by-同舟云学术

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On computing the eventual behavior of an 𝐹𝐼-module over the rational numbers

Published:2020-06-01 Issue:326 Volume:89 Page:2985-3001
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Wiltshire-Gordon John

Abstract

We give a formula for the eventual multiplicities of irreducible representations appearing in a finitely presented F I \mathrm {FI} -module over the rational numbers. The result relies on structure theory due to Sam–Snowden [Trans. Amer. Math. Soc. 146 (2018), no. 10, pp. 4117-4126].

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

https://www.ams.org/mcom/2020-89-326/S0025-5718-2020-03538-8/mcom3538_AM.pdf

Reference19 articles.

1. The cohomology ring of the group of dyed braids;Arnol′d, V. I.;Mat. Zametki,1969

2. Homology of FI-modules;Church, Thomas;Geom. Topol.,2017

3. FI-modules and stability for representations of symmetric groups;Church, Thomas;Duke Math. J.,2015

4. FI-modules over Noetherian rings;Church, Thomas;Geom. Topol.,2014

5. Representation theory and homological stability;Church, Thomas;Adv. Math.,2013

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1. On the tails of FI-modules;Journal of Pure and Applied Algebra;2024-12

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