Virtual Specht stability for $FI$ -modules in positive characteristic

preprint2016arXivOpen access

We define a notion of virtual Specht stability which is a relaxation of the Church-Farb notion of representation stability for sequences of symmetric group representations. Using a structural result of Nagpal, we show that $FI$ -modules over fields of positive characteristic exhibit virtual Specht stability.

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Virtual Specht stability for $FI$ -modules in positive characteristic

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Virtual Specht stability for FIFIFI-modules in positive characteristic

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Virtual Specht stability for $FI$ -modules in positive characteristic