# Classification of Strongly Positive Representations of Even General Unitary Groups

## TL;DR

This paper explicitly constructs Jacquet modules for certain induced representations of even unitary groups over p-adic fields and classifies their strongly positive discrete series representations.

## Contribution

It provides a detailed construction of Jacquet modules and a classification of strongly positive discrete series representations for even unitary groups.

## Key findings

- Explicit Jacquet module structures for induced representations
- Classification of strongly positive discrete series representations
- Applications to representation theory of p-adic groups

## Abstract

We explicitly construct the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a $p$-adic field $F$ of characteristic different than two. As an application, we obtain a classification of strongly positive discrete series representations of those groups.