Some types and covers for quaternionic hermitian groups

ABSTRACT

We determine reducibility points for a certain family of induced representations for quaternionic hermitian and anti-hermitian groups over a p-adic field. We do this via Bushnell and Kutzko’s method of types and covers.

KEYWORDS:

• Hermitian
• induced representation
• quaternionic
• representation theory
• type

MATHEMATICS SUBJECT CLASSIFICATION:

• 22E50