Depth-zero base change for unramified U(2,1)

TL;DR

This paper provides an explicit description of L-packets and quadratic base change for depth-zero representations of unramified U(2,1), demonstrating compatibility with unrefined minimal K-types.

Contribution

It offers a detailed analysis of base change for depth-zero unramified unitary groups, enhancing understanding of their L-packets and K-type compatibility.

Findings

Explicit description of L-packets for unramified U(2,1)

Quadratic base change compatibility with K-types

Clarification of depth-zero representation behavior

Abstract

We give an explicit description of L-packets and quadratic base change for depth-zero representations of unramified unitary groups in two and three variables. We show that this base change is compatible with unrefined minimal K-types.