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VI modules in non-describing characteristic, Part II

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arxiv 1810.04592 v1 pith:YCPFXLIK submitted 2018-10-10 math.RT

Rohit Nagpal This is my paper · ORCID
classification math.RT
keywords characteristicmodulesclassificationgenericirreduciblemathbfmathrmnon-describing
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abstract

We classify all irreducible generic $\mathrm{VI}$-modules in non-describing characteristic. Our result degenerates to yield a classification of irreducible generic $\mathrm{FI}$-modules in arbitrary characteristic. Our result can also be viewed as a classification theorem for a natural class of representations of $\mathbf{GL}_{\infty}(\mathbf{F}_q)$.

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Cited by 1 Pith paper

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  1. A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories

    math.RT 2025-06 conditional novelty 7.0 of 10

    Sheaves of modules are exactly the J-saturated presheaves, every Grothendieck topology on a noetherian EI directed category is rigid, and all topologies on type N/Z categories are classified.

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