Representation de Weil et beta-extensions

TL;DR

This paper investigates beta-extensions in p-adic classical groups, establishing relations via Weil representations and applying these to analyze reducibility points of certain induced representations.

Contribution

It introduces a new relation between beta-extensions using Weil representations and applies this to study reducibility in p-adic classical groups.

Findings

Established a relation between beta-extensions through Weil representations

Analyzed reducibility points of parabolically induced representations

Provided new insights into the structure of p-adic classical groups

Abstract

We study beta-extensions in a p-adic classical group and we produce a relation between some beta-extensions by means of a Weil representation. We apply this to the study of reducibility points of some parabolically induced representations.