#### Vol. 13, No. 9, 2019

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
VI-modules in nondescribing characteristic, part I

### Rohit Nagpal

Vol. 13 (2019), No. 9, 2151–2189
##### Abstract

Let VI be the category of finite dimensional ${\mathbb{F}}_{q}$-vector spaces whose morphisms are injective linear maps and let $k$ be a noetherian ring. We study the category of functors from VI to $k$-modules in the case when $q$ is invertible in $k$. Our results include a structure theorem, finiteness of regularity, and a description of the Hilbert series. These results are crucial in the classification of smooth irreducible ${GL}_{\infty }\left({\mathbb{F}}_{q}\right)$-representations in nondescribing characteristic which is contained in Part II of this paper (VI-modules in nondescribing characteristic, part II, arxiv:1810.04592).

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/ant

We have not been able to recognize your IP address 184.72.102.217 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.