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arxiv: 1602.00654 · v3 · pith:OYRMT237new · submitted 2016-02-01 · 🧮 math.RT

A representation stability theorem for VI-modules

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keywords representationsequencevi-modulealgebraicallycharacteristicclosedfieldfinite
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A VI-module gives rise to a sequence of representations of the finite general linear groups. We prove that the sequence obtained from any finitely generated VI-module over an algebraically closed field of characteristic zero is representation stable.

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