Representations of division algebras over local fields. II

Lawrence Jay Corwin

Vol. 101 (1982), No. 1, 49–70

DOI: 10.2140/pjm.1982.101.49

Abstract

Let D be a division algebra of degree p⁴ over a non-Archimedean locally compact field K (i.e., index (D∕K) = p²). We show how to construct the irreducible unitary representations of the multiplicative group of D.

Mathematical Subject Classification

Primary: 12B35, 12B35

Secondary: 16A39

Milestones

Received: 25 September 1979

Revised: 15 April 1981

Published: 1 July 1982