English

VI modules in non-describing characteristic, Part II

Representation Theory 2018-10-11 v1

Abstract

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

Keywords

Cite

@article{arxiv.1810.04592,
  title  = {VI modules in non-describing characteristic, Part II},
  author = {Rohit Nagpal},
  journal= {arXiv preprint arXiv:1810.04592},
  year   = {2018}
}
R2 v1 2026-06-23T04:35:02.858Z