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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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On computing the eventual behavior of an $\mathrm {FI}$-module over the rational numbers
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by John D. Wiltshire-Gordon HTML | PDF
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].
References
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Additional Information
  • John D. Wiltshire-Gordon
  • Affiliation: Department of Mathematics, Van Vleck Hall, University of Wisconsin-Madison 480 Lincoln Drive, Madison, Wisconsin 53706
  • MR Author ID: 1017529
  • Email: jwiltshiregordon@gmail.com
  • Received by editor(s): May 8, 2019
  • Received by editor(s) in revised form: January 27, 2020
  • Published electronically: June 1, 2020
  • Additional Notes: The author acknowledges support from the NSF through grant DMS-1502553.
  • © Copyright 2020 American Mathematical Society
  • Journal: Math. Comp. 89 (2020), 2985-3001
  • MSC (2010): Primary 18A25; Secondary 16G10
  • DOI: https://doi.org/10.1090/mcom/3538
  • MathSciNet review: 4136554