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

Wiltshire-Gordon, John

doi:10.1090/mcom/3538

On computing the eventual behavior of an $\mathrm {FI}$-module over the rational numbers
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Math. Comp. 89 (2020), 2985-3001 Request permission

Abstract:

We give a formula for the eventual multiplicities of irreducible representations appearing in a finitely presented $\mathrm {FI}$-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].

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