Genericity of supercuspidal representations of p-adic Sp(4)

TL;DR

This paper classifies supercuspidal representations of Sp(4) over non-archimedean fields and identifies which are generic, enhancing understanding of their structure and properties.

Contribution

It provides a detailed description of supercuspidal representations of Sp(4) and characterizes their genericity, a novel classification in this context.

Findings

Classification of supercuspidal representations of Sp(4)

Identification of generic supercuspidal representations

Clarification of the structure of these representations

Abstract

We describe the supercuspidal representations of Sp(4,F), for F a non-archimedean local field of residual characteristic different from 2, and determine which are generic.