A note on certain representations in characteristic p and associated functions

TL;DR

This paper explores specific representations of the polynomial ring over a finite field in characteristic p and examines related vectorial modular forms, contributing to the understanding of modular representation theory in this setting.

Contribution

It introduces new insights into representations of GL2 over polynomial rings in characteristic p and their connection to vectorial modular forms.

Findings

Characterization of certain GL2 representations over Fq[T]

Identification of properties of associated vectorial modular forms

Enhanced understanding of modular forms in equal characteristic

Abstract

We discuss certain representations of GL 2 Fq[T] in equal characteristic and associated vectorial modular forms