On types for unramified p-adic unitary groups

TL;DR

This paper extends Bushnell-Kutzko's methods to construct simple types for unramified p-adic unitary groups, advancing the understanding of their representation theory.

Contribution

It introduces a new construction of simple types for unramified p-adic unitary groups based on skew simple strata, adapting techniques from general linear groups.

Findings

Constructed simple types for unramified p-adic unitary groups.

Extended Bushnell-Kutzko methods to new group settings.

Provides a foundation for classifying representations of these groups.

Abstract

Folloing the methods of Bushnell-Kutzko for general linear groups, we construct simple types attached to certain skew simple strata for a symplectic group and an unramified unitary group over a non-archimedean local field.