# Generic cuspidal representations of $U(2,1)$

## TL;DR

This paper classifies generic cuspidal representations of the unitary group U(2,1) over non-Archimedean local fields with odd residue characteristic, using explicit constructions by Stevens.

## Contribution

It provides a complete classification of generic cuspidal representations of U(2,1) over fields with odd residue characteristic, extending prior work with explicit methods.

## Key findings

- Classification of all generic cuspidal representations of U(2,1)
- Explicit construction methods for these representations
- Extension of Stevens' techniques to unitary groups

## Abstract

Let $F$ be any non-Archimedean local field with a Galois involution $\sigma$ and $F_0$ be the fixed field for the action of $\sigma$. When the residue characteristic of $F_0$ is odd, using the explicit construction of cuspidal representations of classical groups by Stevens, we classify generic cuspidal representations of $U(2,1)(F/F_0)$.