Bounding regularity of FI^m-modules

2024/07/29 by Gan, Wee Liang, Ta, Khoa
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2407.20428

Abstract

Let FI be a skeleton of the category of finite sets and injective maps, and FI^m the product of m copies of FI. We prove that if an FI^m-module is generated in degree \leqslant d and related in degree \leqslant r, then its regularity is bounded above by a function of m, d, and r.

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