Virtual Specht stability for FI-modules in positive characteristic
classification
🧮 math.RT
keywords
stabilityspechtvirtualcharacteristicmodulesnotionpositivechurch-farb
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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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