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arXiv · 1606.02673

Generalized Representation Stability and FI_d-modules

Eric Ramos
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Abstract

In this note we consider the complex representation theory of FI_d, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FI_d-modules exhibit behaviors in the spirit of Church-Farb representation stability theory, generalizing a theorem of Church, Ellenberg, and Farb which connects finite generation of FI-modules to representation stability.

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BibTeXRIS

Eric Ramos. 2016-06-08. Generalized Representation Stability and FI_d-modules. https://arxiv.org/abs/1606.02673

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